Question

Rewrite the expression with rational exponents as a radical expression.

4 times x to the three sevenths power

Answer 1

`\displaystyle 4\sqrt[7]{x^3}`

General Formulas and Concepts:

Algebra I

• Exponential Rule [Root Rewrite]:
  `\displaystyle \sqrt[n]{x} = x^{(1)/(n)}`

Explanation:

Step 1: Define

Identify

`\displaystyle 4x^\bigg{(3)/(7)}`

Step 2: Rewrite

1. Split:
   `\displaystyle 4(x^\bigg{(1)/(7)})^3`
2. Rewrite [Exponential Rule - Root Rewrite]:
   `\displaystyle 4\sqrt[7]{x^3}`