Question

ess in simplest radical form.
$8x^{\frac{1}{3}}$

Explanation:

Step1: Recall exponent to radical rule

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

Step2: Simplify the coefficient

The coefficient is 8, and we know that \( 8 = 2^3 \), but in this case, we just keep the coefficient 8 as is and combine with the radical part. So \( 8x^{\frac{1}{3}}=8\sqrt[3]{x} \).

Answer:

\( 8\sqrt[3]{x} \)