exponentiation question

Question

I have a homework question on exponents, the question asks "simplify the expression and eliminate any negative exponents"

The Question is as follows $$(2x^2y^4)^3(3x^{-3}y)^2$$

and my working out

$$=(8x^6y^{12})(9x^{-6}y^2)$$ $$=72x^0y^{14}=72y^{14}$$

is the answer correct?

Answer 1

You are right. Technically, you don't need to eliminate the $x^0$ term as $0$ is not negative.