Question

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

Explanation:

Step1: Apply exponent rule \((ab)^n = a^n b^n\)

\((27x)^{\frac{1}{3}} = 27^{\frac{1}{3}} \cdot x^{\frac{1}{3}}\)

Step2: Simplify \(27^{\frac{1}{3}}\) (since \(3^3 = 27\))

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

Step3: Combine results

\(3 \cdot x^{\frac{1}{3}} = 3x^{\frac{1}{3}}\) or \(3\sqrt[3]{x}\)

Answer:

\(3x^{\frac{1}{3}}\) (or \(3\sqrt[3]{x}\))