# How do you simplify  (2a^-3)(a^7b^-1)^3?

Jun 19, 2017

The answer is $\frac{2 {a}^{18}}{b} ^ 3$. See the process below!

#### Explanation:

1. Distribute the exponent of 3 - multiply every exponent inside the parentheses by 3.

$\left(2 {a}^{-} 3\right) \left({a}^{21} {b}^{-} 3\right)$

2. Simplify by multiplying the same factors together.
Remember, when multiplying powers with the same base, you add the exponents.

$2 {a}^{18} {b}^{-} 3$

We should give answers with positive indices. So now

$\frac{2 {a}^{18}}{b} ^ 3$