Chapter 1.4, Problem 1E

Use the Laws of Exponents to rewrite and simplify each expression.

1. (a) $\frac{-2^6}{4^3}$

(b) $\frac{{(-3)}^6}{9^6}$

(c) $\frac{1}{\sqrt[4]{x^5}}$

(d) $\frac{x^3\cdot x^n}{x^{n+1}}$

(e) $b^3{\left(3b^{-1}\right)}^{-2}$

(f) $\frac{2x^{2}y}{{\left(3x^{-2}y\right)}^2}$