## Math Problem Statement

how do you solve y= the fourth root of x^3-1

## Solution

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## Math Problem Analysis

### Mathematical Concepts

Algebra

Radicals

Roots

Inverse Functions

### Formulas

y = (x^3 - 1)^{1/4}

y^4 = x^3 - 1

x^3 = y^4 + 1

x = (y^4 + 1)^{1/3}

### Theorems

Inverse Function Theorem

Exponent and Root Properties

### Suitable Grade Level

Grades 10-12