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Use the properties of exponents to simplify the expression.

$\displaystyle{\left(5r\right)^4}$

Solution

We multiply the exponents and apply the rule $(ab)^m=a^m\cdot b^m$ as follows: $\begin{aligned} \left(5r\right)^{4}&=(5)^{4}r^{4}\\ &=625r^{4} \end{aligned}$