maliaseth0

2022-01-23

What is the sign of ${a}^{72}\cdot \left(-\frac{3}{7}\right)$ when a is a negative number?

chukizosv

Expert

Any real number will be positive when it is raised to an even power.
$\therefore {a}^{72}$ is positive.
Since a positive times a negative is negative,
${a}^{72}\cdot \left(-\frac{3}{7}\right)$ is negative.

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