Answer
-5$a^{1/4}$$b^{2}$
Work Step by Step
You are given $\frac{-25a^{\frac{3}{4}}b^6}{5a^{\frac{1}{2}}b^4}$.Simplify the expression:
$\frac{-5a^{\frac{3}{4}}b^6}{a^{\frac{1}{2}}b^4}$ -divide -25 and 5 to get 5-
-5$a^{{\frac{3}{4}}-{\frac{1}{2}}}$$b^{6-4}$ -since you are dividing powers with the same base, subtract the exponents-
$\frac{3}{4}$-$\frac{1}{2}$ =$\frac{1}{4}$and 6-4=2.
The simplified expression is -5$a^{1/4}$$b^{2}$
