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You are here: Home / SAT Practice Questions / SAT math practice question: Exponent equations

SAT math practice question: Exponent equations

May 5, 2023 Leave a Comment

 
Try the following SAT math practice question (Calculator Permitted) that tests your understanding of algebraically manipulating exponent expressions.

Question(Calculator Permitted):

$$ (\sqrt{27})^{m} = \sqrt[3]{(81)^{n}} $$
If $m$ and $n$ are positive numbers in the equation above, what is the value of $\displaystyle \frac{m}{n}$ ?

  1. $\quad \displaystyle \frac{3}{4}$
  2. $\quad \displaystyle \frac{8}{9}$
  3. $\quad \displaystyle \frac{9}{8}$
  4. $\quad \displaystyle \frac{4}{3}$

Choice (B)

Video Explanation

 

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