Question

convert 5^(4/3) to radical form. cube root of 5 to the fourth power; square root of 5 to the fourth power; fifth root of 5 to the third power; fourth root of 5 to the third power

Explanation:

Step1: Recall exponent to radical rule

The rule for converting \( a^{\frac{m}{n}} \) to radical form is \( \sqrt[n]{a^m} \) (or equivalently \( (\sqrt[n]{a})^m \)). Here, \( a = 5 \), \( m = 4 \), and \( n = 3 \).

Step2: Apply the rule

Using the rule, \( 5^{\frac{4}{3}}=\sqrt[3]{5^4} \), which is the cube root of \( 5 \) to the fourth power.

Answer:

A. Cube root of 5 to the fourth power