What is the fast way to simplify when you raise an exponent to another power?

Answers

Answer 1
Answer: if the bases are the same just add the exponents

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What is the cube root of 216x18?

Answers

Answer:

The correct answer is 15.72 or  6 ∛18

Step-by-step explanation:

Let's calculate the cube root of 216 * 18

∛(216 * 18)

216 = 8 * 27

8 = 2³; 27 = 3³

18 = 9 * 2 or 3² * 2

∛(8 * 27 * 18)

Simplifying:

∛(2³ * 3³ * 3² * 2)

∛(2³ * 3³ * 3² * 2)

2 * 3 ∛(3² * 2

6 * 2.62 = 15.72 or 6 ∛18

A quadrilateral has angles that measure 87° 69° in 104° what is the measurement of the fourth angle

Answers

A quadrilateral has angles that add up to 360° so x is the fourth angle in 87+69+104+x=360
260+x=360
x=100° is the fourth angle
The sum of a quadrilaterals angles is 360 degrees. You have three of the angles so just need to add those and subtract from 360. Answer is 360-260=100 degrees

Divide 2 1/2 by 1 5/8=

Answers

1) Convert the mixed numbers into improper fractions (ex. 2 1/3 ÷ 4 1/2= 7/3 ÷9/2)
2) Find the reciprocal of the SECOND number. Then change the division sign to a multiplication sign. (ex. 7/3 ÷ 9/2=7/3×2/9) 
3)Multiply and you've got your answer! (ex. 7/3×2/9=14/27)
Hope this helped!
Convert 2 1/2 into an improper fraction, that should be 5/2.
Now converg 1 5/8 into an improper fraction and and its 13/8

Then set up the divsion problem and flip 13/8 into 8/13 and cross reduce to give you 5/1 times 13/4 qnd multiply qnd then tuen it back into a mixed number and the anwser is 1 17/13

Is it possible to draw a triangle with sides that are 4 inches, 5 inches, and 8 inches long? Justify your answer

Answers

Yes, because 4+5>8....
yea because 4+5 is 9 and 8 is less than 9

What is the slope of this line?

Answers

Answer:

slope = 0

Step-by-step explanation:

The slope of a horizontal line parallel to the x- axis is zero

What is the prime factorization of 400

Answers

The prime factorization of 400 is

2 x 2 x 2 x 2 x 5 x 5

In exponent form:

2^4 x 5^2

Hope this helps!
the prime factorization is 2x2x2x2x5x5


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