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

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Answer 1 · 2017-10-21T17:52:17

Negative.

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

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

Since a positive times a negative is negative,

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

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