Find the Exact Value 100^(1/2)

$100^{\frac{1}{2}}$

Simplify the expression.

Rewrite $100$ as $10^{2}$ .

${(10^{2})}^{\frac{1}{2}}$

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

$10^{2 (\frac{1}{2})}$

Cancel the common factor of $2$ .

Cancel the common factor.

$10^{2 (\frac{1}{2})}$

Rewrite the expression.

$10^{1}$

Evaluate the exponent.

$10$