Try the following ACT math practice question that tests your understanding of manipulating fractional exponential expressions.

If $x$ is a positive number, which of the following is equivalent to $x^{\frac{5}{2}}$ ?

1. $x^2 \sqrt{x}$
2. $x (\sqrt{x})^3$
3. $\displaystyle \frac{x^3}{\sqrt{x}}$

1. $\quad \textrm{I and II only}$
2. $\quad \textrm{I and III only}$
3. $\quad \textrm{II and III only}$
4. $\quad \textrm{I, II, and III}$
5. $\quad \textrm{None}$

Try the following ACT math practice question that tests your understanding of manipulating exponential expressions.

If $2^x = n$, what does $4^{x+1}$ equal in terms of $n$?

1. $\quad 8n$
2. $\quad 2n^2$
3. $\quad 4n^2$
4. $\quad n^2+4$
5. $\quad 2n^2+8$

Try the following ACT math practice question that tests your understanding of manipulating algebraic expressions with absolute value.

Given $m$ and $n$ are real numbers such that $m > n$, which of the following expressions equals $|n-m|$ ?

1. $\quad n-m$
2. $\quad m-n$
3. $\quad -n-m$
4. $\quad m+n$
5. $\quad \sqrt{m^2-n^2}$