# To simplify the expression 25^{\frac{1}{2}}

To simplify the expression ${25}^{\frac{1}{2}}$
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According to the power rule $\left({b}^{n}\right)m={b}^{n}\cdot m$
Given expression is ${25}^{\frac{1}{2}}$
This can be written as ${25}^{\frac{1}{2}}={\left(5×5\right)}^{\frac{1}{2}}$
${25}^{\frac{1}{2}}={\left({5}^{2}\right)}^{\frac{1}{2}}$
Applying the power rule,
${25}^{\frac{1}{2}}={\left(5\right)}^{2×\frac{1}{2}}$
${25}^{\frac{1}{2}}=5$.