Question

How do you simplify `(-2u^2)(6u^6)`?

Answer 1

See the entire simplification process below:

Explanation:

First, rewrite the expression grouping like terms:

`(-2 xx 6)(u^2 xx u^6)`

Now, use this rule for exponents to complete the simplification:

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

`-12u^(2 + 6) -> -12u^8`