Chapter 1.4, Problem 2E

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

2. (a) $\frac{\sqrt[3]{4}}{\sqrt[3]{108}}$

(b) ${27}^{2/3}$

(c) $2x^2{\left(3x^5\right)}^2$

(d) ${\left(2x^{-2}\right)}^{-3}{x}^{-3}$

(e) $\frac{3a^{3/2}\cdot a^{1/2}}{a^{-1}}$

(f) $\frac{\sqrt{a\sqrt{b}}}{\sqrt[3]{ab}}$