To remove the radical on the left side of the equation, cube both sides of the equation.

Multiply the exponents in .

Apply the power rule and multiply exponents, .

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Simplify.

Multiply by .

Combine and simplify the denominator.

Multiply and .

Move .

Raise to the power of .

Use the power rule to combine exponents.

Add and .

Rewrite as .

Use to rewrite as .

Apply the power rule and multiply exponents, .

Combine and .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Simplify.

Multiply by by adding the exponents.

Move .

Multiply by .

Rewrite as .

Use the power rule to distribute the exponent.

Apply the product rule to .

Apply the product rule to .

Apply the product rule to .

Rewrite as .

Use to rewrite as .

Apply the power rule and multiply exponents, .

Combine and .

Multiply by .

Cancel the common factor of and .

Factor out of .

Cancel the common factors.

Factor out of .

Cancel the common factor.

Rewrite the expression.

Divide by .

Simplify the denominator.

Raise to the power of .

Multiply the exponents in .

Apply the power rule and multiply exponents, .

Multiply by .

Cancel the common factor of and .

Factor out of .

Cancel the common factors.

Factor out of .

Cancel the common factor.

Rewrite the expression.

Set up the rational expression with the same denominator over the entire equation.

Multiply each term by a factor of that will equate all the denominators. In this case, all terms need a denominator of . The expression needs to be multiplied by to make the denominator . The expression needs to be multiplied by to make the denominator .

Multiply the expression by a factor of to create the least common denominator (LCD) of .

Move to the left of .

Multiply the expression by a factor of to create the least common denominator (LCD) of .

Multiply by .

Since the expression on each side of the equation has the same denominator, the numerators must be equal.

Subtract from both sides of the equation.

Factor out of .

Factor out of .

Factor out of .

Factor out of .

Rewrite as .

Divide each term by and simplify.

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Divide by .

Take the cube root of both sides of the equation to eliminate the exponent on the left side.

Simplify .

Rewrite as .

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

Solve for y cube root of (x^3)/(cy^4)=x/(4y( cube root of y))