# How do you simplify (1)^ -2/(8) ^ -2?

Jun 7, 2018

$64$

#### Explanation:

The numerator just evaluates to $1$, thus we're left with

$\frac{1}{8} ^ - 2$

We can make the negative exponent positive by bringing it to the numerator. We get

$1 \cdot {8}^{2}$

which evaluates to

$64$

Hope this helps!

Jun 7, 2018

64

#### Explanation:

Quotient rule for exponents:

$\frac{1}{x} ^ n = {x}^{-} \frac{n}{1}$

${\left(1\right)}^{-} \frac{2}{8} ^ - 2 = {8}^{-} \frac{- 2}{1} ^ - \left(- 2\right) = {8}^{2} / {1}^{2} = \frac{64}{1} = 64$