Simplify the Radical Expression 9(27)^(1/3)

$9 {(27)}^{\frac{1}{3}}$

Step 1

Rewrite $27$ as $3^{3}$ .

$9 {(3^{3})}^{\frac{1}{3}}$

Step 2

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

$9 \cdot 3^{3 (\frac{1}{3})}$

Step 3

Cancel the common factor of $3$ .

Cancel the common factor.

$9 \cdot 3^{3 (\frac{1}{3})}$

Rewrite the expression.

$9 \cdot 3^{1}$

Step 4

Evaluate the exponent.

$9 \cdot 3$

Step 5

Multiply $9$ by $3$ .

$27$