Question

Choose the correct simplification of the expression g to the power of 5 times h to the power of 4 all over g to the second power times h to the third power

Answer 1

Answer:

$g^{3}h$ is the correct simplified expression.

Step-by-step explanation:

The given expression is $\frac{g^{5}h^{4}}{g^{2}h^{3}}$

We have to simplify this expression further

= $g^{5} h^{4} g^{-2} h^{-3}$ [ since $\frac{1}{x}=x^{-1}$ ]

= $g^{(5-2)} h^{(4-3)}$ [ $x^{a}x^{b}=x^{(a+b)}$ ]

= $g^{3}h$

Therefore, $g^{3}h$ is the correct simplified form of the given expression.

Answer 2

G^5 x h^4 / g^2 x h^3