Find the Exact Value (27^(1/3))^3

${(27^{\frac{1}{3}})}^{3}$

Multiply the exponents in ${(27^{\frac{1}{3}})}^{3}$ .

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

$27^{\frac{1}{3} \cdot 3}$

Cancel the common factor of $3$ .

Cancel the common factor.

$27^{\frac{1}{3} \cdot 3}$

Rewrite the expression.

$27^{1}$

Evaluate the exponent.

$27$