Question

simplify exponential form

\\\sqrt3{27x^4y^9}\\

Explanation:

⚡ Using what you learned: simplifying radical expressions

Step 1: Convert radical to rational exponents

$$ \sqrt[3]{27x^4y^9} = (27x^4y^9)^{\frac{1}{3}} $$

Step 2: Apply the exponent to each factor

$$ (27)^{\frac{1}{3}} \cdot (x^4)^{\frac{1}{3}} \cdot (y^9)^{\frac{1}{3}} $$

Step 3: Simplify each term

$$ (3^3)^{\frac{1}{3}} \cdot x^{\frac{4}{3}} \cdot y^{\frac{9}{3}} = 3x^{\frac{4}{3}}y^3 $$

Answer:

$$ 3x^{\frac{4}{3}}y^3 $$