Digital PSAT Math Practice Question 303: Answer and Explanation

Question: 303

$$\frac{m^{{\displaystyle \frac{5}{2}}}}{m^{\frac{1}{2}}}=?$$

• A. m
• B. m²
• C. m⁴
• D. $m^{\frac{1}{5}}$

Correct Answer: B

Explanation:

(B)$\frac{m^{{\displaystyle \frac{5}{2}}}}{m^{{\displaystyle \frac{1}{2}}}}$ → Factor out an $m^{\frac{1}{2}}$ on the top → $\frac{m^{\frac{1}{2}}{m}^2}{m^{\frac{1}{2}}}$ Cancel the $m^{\frac{1}{2}}$ from the top and bottom → $m^2$