Question

use rational exponents to simplify each radical.

\\\sqrt9{27^3}\\

\\\sqrt9{27^3} = \box\\

Explanation:

⚡ Using what you learned: Integer and Rational Exponents

Step 1: Convert radical to rational exponent

$$ \sqrt[9]{27^3} = 27^{\frac{3}{9}} $$

Step 2: Simplify the fraction in the exponent

$$ \frac{3}{9} = \frac{1}{3} $$

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

Step 3: Evaluate the expression

$$ 27^{\frac{1}{3}} = \sqrt[3]{27} = 3 $$

Answer:

3