Question

How do you multiply `(- 2) ^ { 2} \cdot ( - 2) ^ { 3} \cdot ( - 2) ^ { 4}`?

Answer 1

-512

Explanation:

This involves an important law of indices:

`a^m * a^n=a^(m+n)`

And therefore:

`(-2)^2 * (-2)^3 * (-2)^4=(-2)^(2+3+4)`

Added together, this is `(-2)^9`, giving you `-512`

(since the power of this negative number is odd, the number will also be negative)