Question

radical expressions
27^(1/3)
simplify
?

Explanation:

Step1: Recall exponent rule

The rule for a fractional exponent \( a^{\frac{m}{n}}=\sqrt[n]{a^{m}} \), so \( 27^{\frac{1}{3}}=\sqrt[3]{27^{1}}=\sqrt[3]{27} \).

Step2: Find cube root of 27

We know that \( 3\times3\times3 = 3^{3}=27 \), so \( \sqrt[3]{27}=3 \).

Answer:

\( 3 \)