# What is -2/3 to the 5th power?

Nov 6, 2015

The answer is $- \frac{32}{243}$.

#### Explanation:

Let's distribute the fifth power to both the numerator and denominator: $\frac{{\left(- 2\right)}^{5}}{{\left(3\right)}^{5}}$. ${\left(- 2\right)}^{5}$ equals -32. ${\left(3\right)}^{5}$ equals 243. Therefore, the fraction that we get is $- \frac{32}{243}$. This cannot be simplified any further, so $- \frac{32}{243}$ is our answer.