Apply the product rule to .

Rewrite as .

Apply the power rule and multiply exponents, .

Cancel the common factor.

Rewrite the expression.

Raise to the power of .

Multiply the exponents in .

Apply the power rule and multiply exponents, .

Cancel the common factor of .

Factor out of .

Cancel the common factor.

Rewrite the expression.

Multiply by .

Simplify (4y^4)^(3/2)