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

Math
To remove the radical on the left side of the equation, cube both sides of the equation.
Simplify each side of the equation.
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Multiply the exponents in .
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Apply the power rule and multiply exponents, .
Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Simplify.
Multiply by .
Combine and simplify the denominator.
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Multiply and .
Move .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Rewrite as .
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Use to rewrite as .
Apply the power rule and multiply exponents, .
Combine and .
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Simplify.
Multiply by by adding the exponents.
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Move .
Multiply by .
Rewrite as .
Use the power rule to distribute the exponent.
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Apply the product rule to .
Apply the product rule to .
Apply the product rule to .
Rewrite as .
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Use to rewrite as .
Apply the power rule and multiply exponents, .
Combine and .
Multiply by .
Cancel the common factor of and .
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Factor out of .
Cancel the common factors.
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Divide by .
Simplify the denominator.
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Raise to the power of .
Multiply the exponents in .
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Apply the power rule and multiply exponents, .
Multiply by .
Cancel the common factor of and .
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Factor out of .
Cancel the common factors.
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Solve for .
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Set up the rational expression with the same denominator over the entire equation.
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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 .
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Factor out of .
Factor out of .
Factor out of .
Rewrite as .
Divide each term by and simplify.
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Divide each term in by .
Cancel the common factor of .
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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 .
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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))

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