Question

How do you multiply `\frac { 3g ^ { 5} } { 10h ^ { 2} } \cdot \frac { h ^ { 5} } { 10g ^ { 2} }`?

Answer 1

`= (3g^3h^3)/100`

Explanation:

`(3g^5)/(10h^2) xx (h^5)/(10g^2)`

Multiply both the numerators and both the denominators together.

`=(3g^5h^5)/(100g^2h^2)`

The numbers do not simplify. Subtract the indices of like bases.

`= (3g^3h^3)/100`