Evaluate 289^(1/2)

$289^{\frac{1}{2}}$

Step 1

Simplify the expression.

Rewrite $289$ as $17^{2}$ .

${(17^{2})}^{\frac{1}{2}}$

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

$17^{2 (\frac{1}{2})}$

Step 2

Cancel the common factor of $2$ .

Cancel the common factor.

$17^{2 (\frac{1}{2})}$

Rewrite the expression.

$17^{1}$

Step 3

Evaluate the exponent.

$17$