Question

(2x^-3yz^-6)(2x)^-5

Answer 1

Power rule and product rule. Look at what you have, and use the rules to simplify. Remember, when simplified, there aren't any negative exponents.\[(2x^{-3}yz^{-6})(2x)^{-5}=(2x^{-3}yz^{-6})(2^{-5})(x^{-5})=2^{-4}x^{-8}yz^{-6}=\frac{y}{2^4x^8z^6}\]