Factor out .

Rewrite as .

Pull terms out from under the radical.

Rewrite as .

Rewrite as .

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

Combine using the product rule for radicals.

Multiply by by adding the exponents.

Multiply by .

Raise to the power of .

Use the power rule to combine exponents.

Add and .

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

Multiply by .

Raise to the power of .

Use the power rule to combine exponents.

Add and .

Simplify cube root of z^13 ninth root of z^6