Question

What is `-2gh(g^3h^5)`?

Answer 1

See a solution process below:

Explanation:

First, rewrite the expression as:

`-2(g * g^3)(h * h^5)`

Then use these rules for exponents to simplify the expression:

`a = a^color(red)(1)` and `x^color(red)(a) xx x^color(blue)(b) = x^(color(red)(a) + color(blue)(b))`

`-2(g^color(red)(1) * g^color(blue)(3))(h^color(red)(1) * h^color(blue)(5)) =>`

`-2g^(color(red)(1)+color(blue)(3))h^(color(red)(1)+color(blue)(5)) =>`

`-2g^4h^6`