Evaluate 225^(1/2)

$225^{\frac{1}{2}}$

Step 1

Simplify the expression.

Rewrite $225$ as $15^{2}$ .

${(15^{2})}^{\frac{1}{2}}$

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

$15^{2 (\frac{1}{2})}$

Step 2

Cancel the common factor of $2$ .

Cancel the common factor.

$15^{2 (\frac{1}{2})}$

Rewrite the expression.

$15^{1}$

Step 3

Evaluate the exponent.

$15$