Question

simplify $27^{1/3}$

Explanation:

Step1: Recall exponent rule

The rule for fractional exponents is \(a^{\frac{m}{n}}=\sqrt[n]{a^{m}}\). For \(27^{\frac{1}{3}}\), \(m = 1\) and \(n=3\), so it's \(\sqrt[3]{27^{1}}=\sqrt[3]{27}\).

Step2: Find cube root of 27

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

Answer:

\(3\)