Simplify the Radical Expression 81^(1/2)

$81^{\frac{1}{2}}$

Step 1

Rewrite $81$ as $9^{2}$ .

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

Step 2

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

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

Step 3

Cancel the common factor of $2$ .

Cancel the common factor.

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

Rewrite the expression.

$9^{1}$

Step 4

Evaluate the exponent.

$9$