Explain how the quotient of powers was used to simplify this expression

Explain How The Quotient Of Powers Was Used To Simplify This Expression

Answers

Answer 1

Answer:

See explanation

Step-by-step explanation:

Given:

5⁴/25 = 5²

25 = 5²

Then,

5⁴ / 25

= 5⁴/5²

Note:

• multiplication sign means addition in indices

• Division sign means subtraction in indices

Both numerator and denominator have the same base, so you'll pick one of the bases and subtract the powers

So,

5⁴/5²

= 5^(4 - 2)

= 5^(2)

= 5²

Therefore,

5⁴ / 25 = 5²


Related Questions

q · 7/9 = 4
What is q?

Answers

Answer:

q = 36/7  or 5 1/7

Step-by-step explanation:

q · 7/9 = 4

Multiply each side by 9/7

q · 7/9 *9/7 = 4*9/7

q = 36/7

If we want it as a mixed number instead of an improper fraction

7 goes into 36 5 times with 1 left over

q = 5 1/7

URGENT PLEASE HELP. In the triangles below, DF MN, DG MP, D P. Can you prove that DFG MNP? Explain your answer. (15 points)

Answers

Answer:

FDG=NMP

Step-by-step explanation:

You can see below that the bases DG and MP are equal, and one of the saides DF and NM are equal, and D=P, so the triangles are the same, you can also see the triangles are isosceles, so they are the same since NM=FD=FG=NP and FD=NM is shown in the picture

Pls help me it’s algebra

Answers

Answer:

x^2 + 13x + 2

Step-by-step explanation:

The perimeter is all of the sides added up.

11 + 3x + x^2 + 2 -(-6x+5) + 2/5(10x-15)

11 + 3x + x^2 + 2 + 6x -5 + 4x - 6

x^2 + 13x + 2

Basically, we combine like terms and you will get a final answer of:

x^2 + 13x + 2.

This is the simplified expression! I hope this helped.

help please I'll give brainliest

Answers

Answer:

35

Step-by-step explanation:

6:5

 We need to get the first number to 43

6*7 = 42

Multiply each term by 7

6*7 : 5*7

42  : 35

8. Which expression is greatest? Justify your answer.
a. 4 X -5
b. -5 + 4
c. -4- (-5)

Answers

Answer:

c

Step-by-step explanation:

i think this is the greatest because if you solve all of the expressions you will find out that this is the greatest.

a.4×-5=-20

b.-5+4=-1

c.-4-(-5)=1

therefore 1 is the greatest so the expression c is the greatest.

I hope this helps

Suppose the following equation is true:
3^x=81^y
What is the connection between x and y?

Answers

Answer:

x=4y

Step-by-step explanation:

3^x=3^4y

x=4y

am I correct?

On another map, the distance between Saugerties and
Kingston is 2 inches. What would the distance from
Saugerties to Catskill be on this map?

Answers

Answer:

10miles

Step-by-step explanation:

Answer:

I have no clue what is going on wit dis g

1.) Create a single variable linear equation that has no solution. Solve the equation algebraically to prove that it does not have a solution.

2.) Create a single variable linear equation that has one solution. Solve the equation algebraically to prove that there is one distinct solution for the equation.

3.) Create a single variable linear equation that has infinitely many solutions. Solve the equation algebraically to prove that there is an infinite number of solutions for the equation

Answers

9514 1404 393

Answer:

x = x+10 = x+1x+1 = x+1

Step-by-step explanation:

1. There will be no solution if the equation is a contradiction. Usually, it is something that can be reduced to 0 = 1.

If we choose to make our equation ...

  x = x +1

Subtracting x from both sides of the equation gives ...

  0 = 1

There is no value of the variable that will make this be true.

__

2. Something that reduces to x = c will have one solution. One such equation is ...

  0 = x+1

  x = -1 . . . . subtract 1 from both sides

__

3. Something that reduces to x = x will have an infinite number of solutions.

One such equation is ...

  x+1 = x+1

Subtracting 1 from both sides gives ...

  x = x . . . . true for all values of x

Ross took a survey of his classmates' preferred food as well as recording their genders. The results are in the table below:

Answers

The answer to your question is 30

Answer:

30 people took part in the survey

Step-by-step explanation:

5+7+6+5+4+3= 30

29. SCUBA DIVING The sign shows the equipment rented or sold by a scuba
diving store.
a. Write two expressions to represent the total sales to rent 2 wet suits,
3 air tanks, 2 dive flags, and selling 5 underwater cameras.
b. What are the total sales?

Answers

The total sales to rent the diving items are :

2(17.25) + 3(15.50) + 2(5.00) + 5(18.99)

2(17.25 + 5.00) + 3(15.50) + 5(18.99)

The total sales to rent the diving items is : $185.95

Given the following rental cost:

Underwater Camera = $18.99

Air tank = $15.50

Wet Suit = $17.25

Dive Flag = $5.00

Expressions to represent the cost of :

2 wet suits, 3 air tanks, 2 dive flags and 5 underwater cameras

Price = price per item × quantity purchased

Expression 1 :

2(17.25) + 3(15.50) + 2(5.00) + 5(18.99)

Similarly, we could group items with the same quantity together :

2(17.25 + 5.00) + 3(15.50) + 5(18.99)

Using either of the two expressions above, the total sales can be calculated thus :

2(17.25 + 5.00) + 3(15.50) + 5(18.99)

2(22.25) + 3(15.50) + 5(18.99)

44.50 + 46.50 + 94.95

= $185.95

The expressions for the total sales to rent the diving items are given above with a total sales value of $185.95

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write 3/2 4/5 8/5 in decimal notation

Answers

Answer:

hope it will help you Mark me as a brilliant

Worth 6 points please help!!

Answers

Answer:

-9

Step-by-step explanation:

The average rate of change is found by

f(5) - f(2)

------------

5-2

10 - 37

----------

5-2

-27

-----

3

-9


Mary can do a job in 80 minutes, Working with Jané, both can do the job in 30
minutes. How long will it take Jane to do the job alone?

Answers

Answer:

see below

Step-by-step explanation:

The equation to determine the work time is

1/a+1/b = 1/c  where a and b are the times alone and c is the time together

1/80 + 1/30 = 1/c

Multiply by the least common denominator to clear the fractions, which is 240c

240c(1/80 + 1/30 = 1/c)

3c+8c = 240

11c = 240

Divide by 11

11c/11 =240/11

c = 240/11 minutes

c=21.81818

Approximately 22 minutes

if 1/a=1/b+1/c+1/d find c when a=2, b=3 and d=5

guys help me with this question please​

Answers

Answer:

c is -30

Step-by-step explanation:

I. 1/a - 1/b - 1/d = 1/c

II. 1/2 - 1/3 - 1/5 = 1/c

III. (15-10-6)/30 = 1/c

IV. -1/30 = 1/c

V. so c.value is -30

If $a$ and $b$ are positive integers such that $\gcd(a,b)=210$, $\mathop{\text{lcm}}[a,b]=210^3$, and $a

Answers

Answer:

[tex]a * b = 210^4[/tex]

Step-by-step explanation:

Given

[tex]a,b>0[/tex]

[tex]gcd(a,b) = 210[/tex]

[tex]lcm(a,b) = 210^3[/tex]

Required

The product of a and b --- missing from the question

To do this, we make use of the following formula:

[tex]a * b = gcd(a, b) * lcm(a, b)[/tex]

So, we have:

[tex]a * b = 210 * 210^3[/tex]

Using the product law of indices, we have:

[tex]a * b = 210^4[/tex]

This means that the product of a and b gives [tex]210^4[/tex]

is there any responsible way to use student loans why or why not

Answers

Answer:just use your student loans that you need as a student don’t waste it on games or unnecessary things.

Step-by-step explanation:

Evaluate the Expression z(z-7) when z=10

Answers

Answer:

30

Step-by-step explanation:

z(z-7)

Let z= 10

10(10-7)

Parentheses first

10 (3)

Multiply

30

Answer:

[tex]\huge\boxed{\sf 30\\}[/tex]

Step-by-step explanation:

= z ( z - 7 )

Put z = 10

= 10 ( 10 - 7 )

= 10 ( 3 )

= 30

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807Peace!

• What is the smallest distance, in meters, needed for an airplane touching the runway with a velocity of 360 km/h and an acceleration of -10 m/s2 to come to rest? HELP​

Answers

Answer:

i think ..................

Step-by-step explanation:

society idsbwj ja

Can someone help me here and check out the other two i have posted there both due soon and i have no clue how to do them

Answers

Answer:

Since the question doesn't mention in what tide the answer should be, I will be giving a solution to both, the high and low tide. Hope this helps :)

Step-by-step explanation:

Using a cosine function, where time is measured in hours past high

tide:  y=4cos30x + 10

Using a cosine function, where time is measured in hours past low

tide:  y = 4cos[30(x-6)]+10

Write an inequality and show on a number line all numbers:
less than 4 but greater than or equal to 0

Answers

Answer:

the inequality is 0<x<4

Step-by-step explanation:

(0,4)

An Olympic diver starts at 7.5 m above the water. During her dive, she goes
1.5
m below the water. What is the vertical distance the diver travels?

Answers

Given that an Olympic diver starts at 7.5 m above the water, during her dive, she goes 1.5 m below the water, the vertical distance the diver travels is 9 meters.

To determine what is the vertical distance the diver travels the following calculation must be performed:

The initial height must be subtracted from the final height, in order to obtain the difference between the two heights.

1.5 - (-7.5) = X1.5 + 7.5 = X9 = X  

Therefore, the vertical distance the diver travels is 9 meters.

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The vertical distance traveled by the Olympic diver is 6 m

The given parameters include:

initial position of the Olympic diver, x₁ = 7.5 m above the waterfinal position of the Olympic diver, x₂ = 1.5 m below the water

The sketch of the Olympic diver's displacement is as follows;

                                   x₁ ---------- 7.5 m

                                         |

                                         |

                                         |

                                         |

                                    ----------- water surface

                                         |

                                         ↓

                                  x₂ ------------ 1.5 m below water surface

The vertical distance from x₁ to x₂  = 7.5 m - 1.5 m = 6 m

Therefore, the vertical distance traveled by the Olympic diver is 6 m

To learn more about distance visit: https://brainly.in/question/7482539

9. An equation representing the height of a burning candle is H = 2(9 - 2t), where
H is the height of the candle in cm and
t is the amount of time that the candle has been burning in minutes.
How long will it take for the candle to burn down to a height of 4 cm?
a. 2 min
b. 3.5 min
C. 5.5 min
d. 7 min

Answers

Answer:

H= 4cm

we want t

4=2(9-2t)

2=(9-2t)

-7=-2t

t=3.5 minutes

simplify
please to the end

Answers

THIS MIGHT NOT BE RIGHT CAUSE I'M SICK

If x^2-ax+b and x^2-cx+d both have a factor x-m prove that m=d-b/c-a

Answers

Answer:

see explanation

Step-by-step explanation:

Given (x - m) is a factor of both then x = m make both expressions equal to zero.

m² - am + b = 0

m² - cm + d = 0

Then

m² - am + b = m² - cm + d ( subtract m² - cm from both sides )

cm - am + b = d ( subtract b from both sides )

cm - am = d - b ← factor out m from each term on the left side

m(c - a) = d - b ← divide both sides by (c - a)

m = [tex]\frac{d-b}{c-a}[/tex] ← as required

3/5 of 1 hour is? pls give me the answer

Answers

1hr=60min

[tex]\\ \sf\longmapsto \dfrac{3}{5}\;of\;60min[/tex]

[tex]\\ \sf\longmapsto \dfrac{3}{5}\times 60[/tex]

[tex]\\ \sf\longmapsto \dfrac{180}{5}[/tex]

[tex]\\ \sf\longmapsto 36min[/tex]

Three pieces of wood measure 20 cm, 41 cm and 44 cm. If the same amount is cut off each piece, the remaining lengths can be formed into a right triangle. What is the length that is cut off?

Answers

5 cm or 29 cm

Step-by-step explanation:

Let x length is cut off from each measurements.

Thus, the new measurements would be: 20 - x, 41 - x, 44 - x, which forms the sides of a right triangle.

Here, (44 - x) will be hypotenuse and (20 - x) and (41 - x) will be perpendicular legs of the triangle.

Therefore, by Pythagoras theorem:

[tex] {(41 - x)}^{2} + {(20 - x)}^{2} = {(44 - x)}^{2} \\ \\ \therefore \: {(41)}^{2} - 82x + {x}^{2} + {(20)}^{2} - 40x + {x}^{2} \\ = {(44)}^{2} - 88x + {x}^{2} \\ \\ \therefore \: 1681 - 122x + 2 {x}^{2} + 400 \\ = 1936 - 88x + {x}^{2} \\ \\ \therefore \: 2081 - 122x + {x}^{2} = 1936 - 88x \\ \\ \therefore \: {x}^{2} - 122x + 88x + 2081 - 1936 = 0 \\ \\ \therefore \: {x}^{2} - 34x + 145 = 0 \\ \\ \therefore \: {x}^{2} - 29x - 5x+ 145 = 0 \\ \\ \therefore \: x(x - 29) - 5(x - 29) = 0 \\ (x - 5)(x - 29) = 0 \\ x - 5 = 0 \: or \: x - 29 = 0 \\ \\ \therefore \: x = 5, \: 29[/tex]

So, the length that is cut off will be either 5 cm or 29 cm.

2x+3y=19 // 6x+2y=22​

Answers

Answer:

(2, 5 )

Step-by-step explanation:

Given the 2 equations

2x + 3y = 19 → (1)

6x + 2y = 22 → (2)

Multiplying (1) by - 3 and adding to (2) will eliminate the x- term

- 6x - 9y = - 57 → (3)

Add (2) and (3) term by term to eliminate x

0 - 7y = - 35

- 7y = - 35 ( divide both sides by - 7 )

y = 5

Substitute y = 5 into either of the 2 equations and solve for x

Substituting into (1)

2x + 3(5) = 19

2x + 15 = 19 ( subtract 15 from both sides )

2x = 4 ( divide both sides by 2 )

x = 2

solution is (2, 5 )

Can you please answer this and don't just give the answers also explain it how you got them? -Thank you

Answers

Answer:

Triangle = 5

Circle = 25

Square = 100

Pentagon = 1600

Rectangle = 155

Step-by-step explanation:

6 x triangle = 3 x 10

Solve for 3 x 10

6 x triangle = 30

Divide both sides by 6

Triangle = 5
•••••••••••••••••••••••••••••••
Triangle x 20 = Circle x 4

Substitute triangle for 5

5 x 20 = Circle x 4

Solve for 5 x 20

100 = Circle x 4

Circle = 100 divided by 4

Circle = 25
•••••••••••••••••••••••••••••••
Circle + triangle = square minus 70

Substitute Circle and Triangle for their values

25 + 5 = square - 70

Solve for 25 + 5

30 = square - 70

Add 70 to both sides

square = 100
•••••••••••••••••••••••••••••••
Square x 8 = 1/2 of pentagon

Substitute square for 100

100 x 8 = 1/2 of pentagon

Solve for 100 x 8

800 = 1/2 of pentagon

Pentagon = 1600
•••••••••••••••••••••••••••••••
Pentagon divided by square = rectangle + 5

Substitute pentagon and square for their values

1600 divided by 100 = rectangle + 5

Solve for 1600 divided by 100

160 = rectangle + 5

Subtract 5 from both sides

Rectangle = 155
••••••••••••••••••••••••••••••••••
Rectangle x rectangle = ?

Rectangle = 155

Rectangle x rectangle = 24025
••••••••••••••••••••••••••••••••••

A square has a perimeter of 80 m. What is the length of each side?

Answers

Answer:

20 m

[tex]p = 4a \: thus \: a = p \div 4 = 80 \div 4 = 20 \: m[/tex]

Answer:

20

Step-by-step explanation:

P=4L

80=4L

L=80/4

L=20m

Find the slope of the line that passes through (-26, 9) and (32, 71).

Answers

Answer:

[tex]Slope = \frac{31}{29}[/tex]

Step-by-step explanation:

Step 1:  Define the slope formula

[tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Step 2:  Find the slope

[tex]Slope = \frac{71-9}{32-(-26)}[/tex]

[tex]Slope = \frac{62}{58}[/tex]

[tex]Slope = \frac{31}{29}[/tex]

Answer:  [tex]Slope = \frac{31}{29}[/tex]

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