Evaluate (5^(1/2))^2

${(5^{\frac{1}{2}})}^{2}$

Step 1

Multiply the exponents in ${(5^{\frac{1}{2}})}^{2}$ .

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$5^{\frac{1}{2} \cdot 2}$

Cancel the common factor of $2$ .

Cancel the common factor.

$5^{\frac{1}{2} \cdot 2}$

Rewrite the expression.

$5^{1}$

Step 2

Evaluate the exponent.

$5$