Question 1

Simplify the following expression:

$$\$$left(a^{b+2}$$\$$right)^5$$ \$$left(a^{b-2}$$\$$right)^{-3}$$

Accepted Answer

$$a^{8b+16}$$

Question 2

Which of the following is equivalent to $$\$$left(a^{b+2}$$\$$right)^5$$?

Accepted Answer

$$a^{5b+10}$$

Question 3

If $$a=2$$ and $$b=1$$, what is the value of $$\$$left(a^{b+2}$$\$$right)^5$$ \$$left(a^{b-2}$$\$$right)^{-3}$$?

Accepted Answer

$$2^{8}$$

Question 4

Which property of exponents is used to simplify $$\$$left(a^{b-2}$$\$$right)^{-3}$$?

Accepted Answer

Power of a power property

Question 5

What is the simplified exponent of $$a in$$ $$\$$left(a^{b+2}$$\$$right)^5$$ \$$left(a^{b-2}$$\$$right)^{-3}$$?

Accepted Answer

$$8b+16$$

Question 6

If $$b=0$$, what is the value of the exponent of $$a in$$ $$\$$left(a^{b+2}$$\$$right)^5$$ \$$left(a^{b-2}$$\$$right)^{-3}$$?

Accepted Answer

$$16$$

Question 7

Which of the following steps is NOT correct when simplifying $$\$$left(a^{b+2}$$\$$right)^5$$ \$$left(a^{b-2}$$\$$right)^{-3}$$?

Accepted Answer

Multiplying the bases together before applying exponents

Question 8

Which real-world scenario could be modeled by the expression $$\$$left(a^{b+2}$$\$$right)^5$$ \$$left(a^{b-2}$$\$$right)^{-3}$$?

Accepted Answer

Compound interest calculated over different periods with varying rates

Question 9

If $$a=3$$ and $$b=2$$, what is the value of $$\$$left(a^{b+2}$$\$$right)^5$$ \$$left(a^{b-2}$$\$$right)^{-3}$$?

Accepted Answer

$$3^{32}$$

Question 10

Which of the following best describes the process to simplify $$\$$left(a^{b+2}$$\$$right)^5$$ \$$left(a^{b-2}$$\$$right)^{-3}$$?

Accepted Answer

Apply the power rule to each term, then add the exponents

Properties of Exponents and Simplifying Expressions

Study Guide - Practice Questions