Evaluate 16^(1/2)

$16^{\frac{1}{2}}$

Step 1

Simplify the expression.

Rewrite $16$ as $4^{2}$ .

${(4^{2})}^{\frac{1}{2}}$

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

$4^{2 (\frac{1}{2})}$

Step 2

Cancel the common factor of $2$ .

Cancel the common factor.

$4^{2 (\frac{1}{2})}$

Rewrite the expression.

$4^{1}$

Step 3

Evaluate the exponent.

$4$