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 .

Cancel the common factor.

Rewrite the expression.

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