Question

Simplify the following expression.

$(h{g}^{-3}{)}^2÷g^{1/2}\times (hg{)}^3$

Answer 1

Consider the given expression.

$\Rightarrow {\left(h{g}^{-3}\right)}^2÷g^{\frac{1}{2}}\times {\left(hg\right)}^3$

$\Rightarrow \frac{{\left(h{g}^{-3}\right)}^2\times h^3{g}^3}{g^{\frac{1}{2}}}$

$\Rightarrow \frac{h^5{g}^{-3}}{g^{\frac{1}{2}}}$

$\Rightarrow h^5{g}^{-7/2}$

Hence, this the answer.