Find the Exact Value 9^(1/2)

$9^{\frac{1}{2}}$

Simplify the expression.

Rewrite $9$ as $3^{2}$ .

${(3^{2})}^{\frac{1}{2}}$

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

$3^{2 (\frac{1}{2})}$

Cancel the common factor of $2$ .

Cancel the common factor.

$3^{2 (\frac{1}{2})}$

Rewrite the expression.

$3^{1}$

Evaluate the exponent.

$3$