Question

simplify.
$32^{\frac{3}{5}}$

Explanation:

Step1: Recall the exponent rule \(a^{\frac{m}{n}}=\sqrt[n]{a^m}=(\sqrt[n]{a})^m\)

For \(32^{\frac{3}{5}}\), we can rewrite it as \((\sqrt[5]{32})^3\)

Step2: Calculate \(\sqrt[5]{32}\)

Since \(2^5 = 32\), so \(\sqrt[5]{32}=2\)

Step3: Calculate \(2^3\)

\(2^3 = 8\)

Answer:

\(8\)