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. $\quad \displaystyle \frac{4}{3}$

 
Try the following SAT math practice question (Calculator Permitted) that tests your understanding of percent changes in exponential functions.

Question(Calculator Permitted):

The exponential function $h$ decreases by $36\%$ for each increase by $2$ in the value of $x$. Which of the following could define $h$ ?

1. $\quad h(x)=3(0.36)^x$
2. $\quad h(x)=2(0.64)^x$
3. $\quad h(x)=3(0.8)^x$
4. $\quad h(x)=2(1.36)^x$