# What is the sign of a^72 * (-3/7) when a is a negative number?

Oct 21, 2017

Negative.

#### Explanation:

Any real number raised to an even power is going to be positive.

$\setminus \therefore {a}^{72}$ is positive.

Since a positive times a negative is negative,

${a}^{72} \setminus \cdot \left(- \setminus \frac{3}{7}\right)$ is negative.