Simplify $\sqrt{m^7}$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $7$ and $n$ equals $\frac{1}{2}$
$m^{7\frac{1}{2}}$
2
Multiply $7$ times $\frac{1}{2}$
$\sqrt{m^{7}}$
Final answer to the problem
$\sqrt{m^{7}}$
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The simplification of algebraic expressions consists in rewriting a long and complex expression in an equivalent, but much simpler expression. This simplification can be accomplished through the combined use of arithmetic and algebra rules.