# How do you simplify (-5a^2b^7)^7?

Sep 24, 2015

$- 3125 {a}^{14} {b}^{49}$

#### Explanation:

Since the whole thing is a multiplication, so there is only one term, you can distribute the power to each 'term' in the parentheses.

First of all, since there is a negative, and the power is an odd number, the result should also be negative.

Then you do ${5}^{7}$ which equals $3125$.

Next you do ${\left({a}^{2}\right)}^{7}$, and when you take a power to another exponent, you multiply the exponents, which gets you ${a}^{14}$.

Same applies to ${\left({b}^{7}\right)}^{7}$. This will give you ${b}^{49}$.

Therefore, you have $- 3125 {a}^{14} {b}^{49}$.