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Free Digital SAT Exponents Practice Problems with Video Explanations

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1. Which expression is equivalent to $(p^5q^{-4})(p^{-2}q^7)$

, where $p$ and $q$ are positive?

A) $p^7q^3$

B) $p^3q^{-11}$

C) $p^3q^3$

D) $p^{10}q^{-28}$

Question 1 of 3

2. Which expression is equivalent to $x^{7/9}$ , where $x>0$ ?

A) $\sqrt[7]{x^9}$

B) $\sqrt[9]{x^7}$

C) $\sqrt[16]{x}$

D) $(\sqrt[7]{x} )^9$

Question 2 of 3

3. The expression $8\sqrt[3]{27x^4}\sqrt[4]{16x^3}$

is equivalent to $ax^b$ , where $a$ and $b$ are positive constants and $x>1$ . What is the value of $a+b$ ?

A) $\dfrac{601}{12}$

B) $12$

C) $\dfrac{64}{3}$

D) $108$

Question 3 of 3

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