lets evaluate (3^6)^1/2

step by step.

Answers

Answer 1

Answer:

27

Step-by-step explanation:

[tex]\bigg(3^6\bigg)^{\frac{1}{2}}[/tex]

use

[tex](a^n)^m=a^{n\cdot m}[/tex]

[tex]\bigg(3^6\bigg)^{\frac{1}{2}}=3^{6\cdot\frac{1}{2}[/tex]

simplify

[tex]6\!\!\!\!\diagup^3\cdot\dfrac{1}{2\!\!\!\!\diagup_1}=3\cdot\dfrac{1}{1}=3\cdot1=3[/tex]

other

[tex]6\cdot\dfrac{1}{2}=\dfrac{6\cdot1}{2}=\dfrac{6}{2}=3[/tex]

therefore

[tex]\bigg(3^6\bigg)^{\frac{1}{2}}=3^{6\cdot\frac{1}{2}}=3^3=\underbrace{3\cdot3\cdot3}_{3}=27[/tex]

Answer 2

[tex]\displaystyle\bf \boldsymbol{\boxed{(a^n)^m=a^{n\cdot m}}} \\\\(3^6)^{\frac{1}{2}} =3^{\frac{6}{2} }=3^3=\boldsymbol{{\boxed {27}}}[/tex]


Related Questions

HELP ASAP I WILL MARK BRAINLIEST AND GIVE POINTS!!!!!! (FAKE ANSWERS REPORTED)
The following figures are not drawn to scale but AB and CD if present) are straight lines. Find x:

Answers

Answer:

x=60

Step-by-step explanation:

y=x

90-30=y

60=y

x=60

Straight line is 180
180 - 90(A&C right angle) =90
90 -30 (from B) = 60
Thus x = 60


The answer is 60

Can someone solve this please.

Answers

Answer:

find fist the lcm and gcf for each data

i jus needed some points really quickly

Mary and her three friends go out to lunch and their bill is $36. If they want to tip their waitress 15%, how much money should they tip?
GOOD EXPLAINING PLEASE

Answers

Answer: $5.40

Explaining: To find the this all you have to do is convert 15% into decimal form which would make it .15

After that what you do is multiply .15 by 36.

This would leave you with $5.40.

Pls let me know if this helped :).
$5.40. if you’re allowed to use a calculator it’s easy to plug in, 36 - 15% :)

Hello! Please help ASAP!!!

Turn this problem into a Pythagorean Theorem diagram

Aleena’s car is 7 miles north from Starbucks. Aryona’s car is located 4 miles west from Aleena. How far is Aryona from the Starbucks.

Answers

Square root of 65 so the equation would be 7^2+4^2=c^2
The square root of 65 so the equation would be 7^2+4^2=c^2

lets evaluate 81^-3/4.

Answers

Answer:

1/ 27

Step-by-step explanation:

[tex] = 81^{ \frac{-3}{4} } [/tex]

[tex] = (\frac{1}{81}) ^{ \frac{3}{4} } [/tex]

[tex] = (\frac{1}{3}) ^3 [/tex]

[tex] = \frac{1}{27} [/tex]

1/27 because that the answer

I NEED THIS RN IMMEDIATELY ASAP PLS HELP !!! INSTRUCTIONS ARE ON THE FIRST PIC! (pls no links to other sites)

Answers

Slope is 1/1 I have to have 20 characters or sum so goofy daisy Pluto Donald

The blue shape is a dilation of the black shape. What is the scale factor of the dilation? Simplify your answer and write it as a fraction or whole number.

Answers

Answer:

3 or 3/1 (the 1 is the denominator)

Step-by-step explanation:

the shape got 3 times bigger. let me know

I believe this would be 3/1. The size was multiplied 3xs thus in factor form is 3/1

Use the drop-down menus to complete each equation so the statement about its solution is true.

Answers

Answer:

7x+5

Step-by-step explanation:

2x+5+2x+3x

=2x+2x+3x+5

=7x+5

The answer to the question is 7x+5

pls help find the angle

Answers

60+x=3x-70
-2x=-130
X=60.5






Hehehdhdhrhhdhdhdhdbdhhdhd X=60.5

find the value of a and be when x is 12 a= 5x^2/2 b= 2x^2(x-5)/10x

Answers

Answer:

a=360

b=168

Step-by-step explanation:

a=5×12×12/2=5×12×6=360

b=2×12×12×(12-5)/10×12=2×12×7=14×12=164

answer a is 360 and answer b is 180 :)

Which of the following is the solution to the inequality below? 5x - 6 [tex]\leq[/tex] 14
A) x [tex]\leq[/tex] - 4/5
B) x [tex]\geq[/tex] 4
C) x [tex]\geq[/tex] - 4/5
D) x [tex]\leq[/tex] 4

Answers

Answer:

D. x [tex]\leq[/tex] 4

Step-by-step explanation:

1. You add 6 to each side

2. Divide each side by 5 to isolate x

Answer:

answer is A.

Step-by-step explanation:

-5x-10 <20

Group like terms

-5x < 20 + 10

-5x < 30

Divide both sides by -5

y varies inversely as the square of x
y=1.5 when x=8
Find y when x=5

Answers

Answer:

3.84

Step-by-step explanation:

Given that , y varies inversely as the square of x . Mathematically we can write this statement as ,

[tex]\implies\rm y \propto \dfrac{1}{x^2}[/tex]

Let k be the constant . Therefore ,

[tex]\implies\rm y = k \dfrac{1}{x^2}[/tex]

When y = 1.5 and x = 8 :-

Plug in the respective values ,

[tex]\implies\rm y = k \dfrac{1}{x^2} \\\\\implies\rm 1.5 = k \times \dfrac{1}{8^2} \\\\\implies\rm k = 1.5 \times 64 \\\\\implies\rm k = 96[/tex]

When x = 5 :-

[tex]\implies\rm y = k \dfrac{1}{x^2} \\\\\implies\rm y = 96 \times \dfrac{1}{5^2}=\dfrac{ 96}{25} \\\\\implies\rm\boxed{ y = 3.84 }[/tex]

Answer: 3.84

hope it helped!

ok look i know ya'll are tired of me but please help


Which of these situations are represented by the integer shown on the number line? Select all that apply.



The stock market fell five points yesterday.

The temperature is five degrees below zero.

Shanti found a five dollar bill.

The team lost five yards on their last play.

Answers

Im not entirely sure but it could be B or C :D, hope this helps!
B is the correct answer, because the integer shows no less or more than symbol, therefore B is the only possible answer

Identify the initial value and rate of change for the graph shown

A coordinate plane graph is shown. A line passes through the y-intercept at 1 and through the point 5 comma 4.

Initial value: 1, rate of change 3 over 5.
Initial value: 3 over 5., rate of change: 0
Initial value: 1, rate of change 5 over 3.
Initial value: 5 over 3., rate of change: 0

Answers

initial value: 1. rate of change: 3 over 5.
Initial value:1,rate of change 3 over 5

Marly gets 5 gems every 5 minutes. If Marely has 180 gems, how many minutes have passed?

Answers

Find out how many gems Marly can get in a minute.

5 gems = 5 minutes

1 gems = 5 divided by 5 = 1 minute

180 gems = 1 x 180 = 180 minutes

180 minutes have passed.



Answer:

180

Step-by-step explanation:

It is one gem per minute.

A quadrilateral that has its opposite sides equal and its angles, not a 90 is called:
a. deltoid
b. parallelogram
c. rectangle
d. square
e. trapezoid

Answers

Yes. They are correct it’s C
ANSWER: Parallelogram
EXPLANATION: It is saying that the angles are not 90 degrees, while all the options angles would be 90 except the parallelogram because it is a slanted rectangle/square.

Sylvain spent a total of 18 hours on English and math homework over the last 3 weeks. He spent twice as much time on English than on math. Let x represent the number of hours spent on English and y represent the number of hours spent on math.

x + y = 18. x = 2 y.

What is the solution of the system of equations?
(12, 6)
(6, 12)
(9, 9)
(15, 3)

Answers

Answer:

12, 6

Step-by-step explanation:

we have two equations

x + y = 18 .... . (i)

and x = 2y .... .(ii)

substituting the value of x from eq. (ii) in eq. (i)

2y + y = 18

3y = 18

y = 6

putting this value if y in equation (ii) to get x

x = 2 × 6

= 12

therefore,

(12, 6) is the solution to the system of equations

x = 2y

2y + y = 18 x + y = 18
3y =18 x + 6 = 18
y = 6 x = 12


(12,6)

Evaluate the expression shown below and write your answer as a fraction in simplest form.

Answers

Answer:

39/80

Step-by-step explanation:

Answer:

ok so first we have to make these fractions into the same fraction on the bottom

140/320+16/320=0.4875 which as a fraction is 39/80

Hope This Helps!!!

D = ______
R = ______

Answers

Answer:

picture unclear

Step-by-step explanation:

Answer:

. a real coordinate space of dimension n, written Rn or R n {\​displaystyle ... C 1 > 0 , ∃ C 2 > 0 , ∀ x , y ∈ R n : C 1 d ( x , y ) ≤ q ( x − y ) ≤ C 2 d ( x , y ) . {\displaystyle \exists C_{1}>0,\ \exists C_{2}>0,\ \forall \mathbf {x} ,\​mathbf ...

Step-by-step explanation:

Is the triangle obtuse, acute, equilateral or right?

Answers

9514 1404 393

Answer:

  obtuse

Step-by-step explanation:

The law of cosines tells you ...

  b² = a² +c² -2ac·cos(B)

Substituting for a²+c² using the given equation, we have ...

  b² = b²·cos(B)² -2ac·cos(B)

We can subtract b² to get a quadratic in standard form for cos(B).

  b²·cos(B)² -2ac·cos(B) -b² = 0

Solving this using the quadratic formula gives ...

  [tex]\cos(B)=\dfrac{-(-2ac)\pm\sqrt{(-2ac)^2-4(b^2)(-b^2)}}{2b^2}\\\\\cos(B)=\dfrac{ac}{b^2}\pm\sqrt{\left(\dfrac{ac}{b^2}\right)^2+1}[/tex]

The fraction ac/b² is always positive, so the term on the right (the square root) is always greater than 1. The value of cos(B) cannot be greater than 1, so the only viable value for cos(B) is ...

  [tex]\cos(B)=\dfrac{ac}{b^2}-\sqrt{\left(\dfrac{ac}{b^2}\right)^2+1}[/tex]

The value of the radical is necessarily greater than ac/b², so cos(B) is necessarily negative. When cos(B) < 0, B > 90°. The triangle is obtuse.

Obtuse Bc Ik it is so ye lol

PLZ HELP 10 POINTS
Is the transformed figure (image) congruent to the original (pre-image) figure?

Answers

Congruent means there's exact shape and angle magnitude since transformation requires relocation of an image there's no change to it's shape therefore it's congruent

Congruent means it’s the same

negative3.5 degree F, 5 degree F, 1.5 degree F, negative 0.5 degree F, negative 2 degree F, 2.5 degree F, negative 4 degree F. Part 1: Weather Analysis Plot and label the temperatures on a number line. You can create the number line by using a drawing program, by drawing it by hand and sending in a picture, or by describing in detail how the completed number line should look.

Answers

A thermometer can help us determine how cold or hot a substance is. Temperature is in most of the world measured and reported in degrees Celsius (°C). In the U.S. it is common to report temperature in degrees Fahrenheit (°F). In the Celsius and Fahrenheit scales the temperatures where ice melts (water freezes) and water boils are used as reference points.

15 POINTS!!!
Identify the initial value and rate of change for the graph shown

A coordinate plane graph is shown. A line passes through the y-intercept at 1 and through the point 5 comma 4.

Initial value: 1, rate of change 3 over 5.
Initial value: 3 over 5., rate of change: 0
Initial value: 1, rate of change 5 over 3.
Initial value: 5 over 3., rate of change: 0

Answers

Answer:

Step-by-step explanation:

y=mx+b

y-intercept= 1

b=1

point (5,4)

x=5

y=4

y=mx+b

4=m(5)+1

5m=3

m=3/5

rate of change = 3/5

Which sequence of transformations will change figure PQRS to figure P′Q′R′S′? (5 points)

A coordinate grid is labeled from negative 5 to 0 to 5 on both x and y axes at increments of 1. Figure PQRS has P at ordered pair 1, 2, Q at 2,1, R at 3,2, S at 3,3.

Figure P prime Q prime R prime S prime has P prime at ordered pair 1,negative 2, Q prime at 2,negative 1, R prime at 3,negative 2 and S prime at 3,negative 3.
Counterclockwise rotation about the origin by 180 degrees followed by reflection about the x-axis
Counterclockwise rotation about the origin by 180 degrees followed by reflection about the y-axis
Counterclockwise rotation about the origin by 270 degrees followed by reflection about the x-axis
Counterclockwise rotation about the origin by 270 degrees followed by reflection about the y-axis

Answers

Answer:

Counterclockwise rotation about the origin by 180 degrees followed by reflection about the x-axis

Step-by-step explanation:

PLEASE HELP FAST, I CANT GET IT WRONG

Answers

Answer: I think it is 12 divided by 7

It’s 12 divided by 7 which is 1.7

what is the additive inverse of [tex]\frac{2}{3}[/tex]
A. 3/2
B. 0
C. -2/3
D. -3/2

show al your work please due very soon

Answers

Answer:

your answer is C. -2/3

Step-by-step explanation:

In mathematics, the additive inverse of a number a is the number that, when added to a, yields zero. This number is also known as the opposite (number), sign change, and negation. For a real number, it reverses its sign: the additive inverse (opposite number) of a positive number is negative, and the additive inverse of a negative number is positive. Zero is the additive inverse of itself. In this case, -2/3 is the additive inverse of 2/3.

I believe your answer would be C

What are some transformations that would map DFE to ABC on this coordinate plane? Other than a unit movement

Answers

Answer: You could use a translation since the shape is maintaining its orientation and size. All it’s doing is moving to the right.

a translation would move points while keeping the size and shape

When you add 6 to the product of a number and 10, the result is 36. What is the number?
A) 3
B) 6
C) 2
D) 4

Answers

Answer: the number is 3.

Step-by-step explanation:

(x × 10) + 6 = 36

[(3) × 10] + 6 = 36

Answer:

3

Step-by-step explanation

First let's create an equation

Let x = number

Product is outcome of multiplication

The product of 10 and a number can be written as 10x

Were supposed to add 6 to the product and that should equal 36

So the equation is 10x + 6 = 36

We now solve for x using basic algebra

10x + 6 = 36

Subtract 6 from both sides

10x = 30

Divide both sides by 10

X = 3

The equations x minus 2 y = 4, 4 x + 5 y = 8, 6 x minus 5 y = 15, and x + 2 y = 0 are shown on the graph below.

On a coordinate plane, there are 4 lines. Green line goes through (0, 0) and (2, -1). Blue line goes through (0, negative 2) and (2, negative 1). Pink line goes through (0.75, negative 2), and (2.5, 0). Purple line goes through (0, 1.5) and (2, 0).

Which system of equations has a solution of approximately (1.8, –0.9)?
6 x minus 5 y = 15 and x + 2 y = 0
4 x + 5 y = 8 and 6 x minus 5 y = 15
x minus 2 y = 4 and 4 x + 5 y = 8
6 x minus 5 y = 15 and x minus 2 y = 4

Answers

Answer:

Step-by-step explanation:

.1x7 8, 6

Answer:

its A on endg

Step-by-step explanation:

trust.

have yall noticed for the quiz that every answer so far is a (if ur on the same one i am, assuming we are)

Which of the following is a step in simplifying the expression x multiplied by y to the power of 2 over x to the power of negative 3 multiplied by y to the power of 3, the whole to the power of negative 4.? (5 points)

x to the power of negative 4 multiplied by y to the power of negative 2, the whole over x to the power of negative 7 multiplied by y to the power of negative 1.
x to the power of negative 4 multiplied by y to the power of negative 8, the whole over x to the power of 12 multiplied by y to the power of negative 12.
x to the power of negative 4 multiplied by y to the power of negative 8, the whole over x to the power of negative 3 multiplied by y to the power of 3.
x to the power of negative 4 multiplied by y to the power of negative 2, the whole over x to the power of negative 3 multiplied by y to the power of 3.

Answers

Answer:

x to the power of negative 4 multiplied by y to the power of negative 8, the whole over x to the power of negative 3 multiplied by y to the power of 3

Step-by-step explanation:

B because when you multiply 4 times 2 8
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