volume_mute

To raise an exponential expression to a power, keep the base and multiply the exponents

publish date2024/01/11 05:01:00 UTC

volume_mute
True
False

Correct Answer

True

Explanation

For any number \(x\) and any natural numbers \(m\) and \(n\)

$\left(x^m\right)^n = x^{m \cdot n} = x^{mn}$

You read as "the quantity of x to the mth power raised to the nth power equals x to the mnth power."

Reference

Mathematics for college students


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