Take the cube root of each side of the equation to set up the solution for

Remove the perfect root factor under the radical to solve for .

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Simplify .

Simplify the numerator.

Rewrite as .

Pull terms out from under the radical, assuming real numbers.

Cancel the common factor of and .

Factor out of .

Cancel the common factors.

Factor out of .

Cancel the common factor.

Rewrite the expression.

The result can be shown in multiple forms.

Exact Form:

Decimal Form:

Mixed Number Form:

Solve for m (4m)^3=1000