# What is 2 to the power -3?

Dec 6, 2017

The answer is $\frac{1}{8}$.

#### Explanation:

Since your exponent is negative, you will have to make a fraction. To make the exponent even, you will make $1$ the numerator and $2$ to the power of $3$ the denominator.

Now that you have a fraction, and the exponent is no longer negative, you will keep $1$ as the numerator and have $2 \cdot 2 \cdot 2$ as the denominator.

You can simplify the denominator. $2$ times $2$ is $4$ times $2$ again, is $8$. The numerator is $1$ and the denominator is $8$, which is the fraction $\frac{1}{8}$.

Also, $1$ will always be the numerator when you are trying to simplify a number that has a negative exponent.