## Calculus with Applications (10th Edition)

$\displaystyle \frac{4^{9/4}\cdot 4^{-7/4}}{4^{-10/4}}=$ ...use: $a^{m}\cdot a^{n}=a^{m+n}$ and $\displaystyle \frac{a^{m}}{a^{n}}=a^{m-n}$... $=4^{9/4-7/4-(-10/4)}$ $=4^{(9-7+10)/4}$ $=4^{12/4}$ $=4^{3}=64$