# How do you simplify 8(-7)^4 * 4(-7)^11?

May 22, 2018

#### Answer:

$32 \times {\left(- 7\right)}^{15}$
$= - 1.5192 \times {10}^{14}$

#### Explanation:

$8 {\left(- 7\right)}^{4} \times 4 {\left(- 7\right)}^{11}$ is all one term with four factors multiplied.

You can re-arrange them.
$8 \times 4 \times {\left(- 7\right)}^{4} \times {\left(- 7\right)}^{11}$

$= 32 \times {\left(- 7\right)}^{15} \text{ } \leftarrow$ add the indices of like bases.

If you simplify this further you get a really big number. It will be negative because the index is an odd number.

$= - 1.5192 \times {10}^{14}$