Laws of Exponents

Question 1

Simplify 52 · 59.

Revolt · Accepted Answer

A: 511

Question 2

Simplify

Revolt · Accepted Answer

B: 6x6

Question 3

Question 3

Revolt · Accepted Answer

21

Question 4

Simplify (2xy3)4.

Revolt · Accepted Answer

D: 16x4y12

Question 5

The area of a rectangle is represented by the expression 6x3y5. Which of the following could be the dimensions of the rectangle?

Revolt · Accepted Answer

A: 2xy2 and 3x2y3; C: 2x3y and 3y4

Question 6

y10z5x6y7z5x7y9z5x8y18z5

Revolt · Accepted Answer

D: x8y18z5

Question 7

3y33xy39xy39x5y3

Revolt · Accepted Answer

C: 9xy3

Question 8

Find the values of a, b, and c in the equation below. a = b = c =

Revolt · Accepted Answer

⇒ 12: 11

Question 9

Explain what you would do first to simplify the expression below. Justify why, and then state the result of performing this step.

Revolt · Accepted Answer

To simplify the expression, I would first simplify the term in the numerator within the innermost parentheses, (2r^2t)^3. Following the order of operations (PEMDAS), I must address the innermost grouping first. Using the power of a product property and the power of a power property, I would cube each factor inside the parentheses. This results in 2^3, (r^2)^3, and t^3, which simplifies to 8r^6t^3 in the numerator.

Question 10

Simplify (-2x3)2 · y · y9.

Revolt · Accepted Answer

C: 4x6y10

Laws of Exponents Answers

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