Question

Rewrite the expression with rational exponents as a radical expression.

4 times x to the three sevenths power

Answer 1

Answer:

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

General Formulas and Concepts:

Algebra I

• Exponential Rule [Root Rewrite]:                                                                        $\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}$

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle 4x^\bigg{\frac{3}{7}}$

Step 2: Rewrite

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