Chapter 0.4, Problem 4CP

Complete the following.

(a) $x\cdot x^{\frac{1}{3}}\cdot x^3=x^{?}$

(b) $x^2÷x^{\frac{1}{2}}=x^{?}$

(c) ${\left(x^{-\frac{2}{3}}\right)}^{-3}=x^{?}$

(d) $x^{-\frac{3}{2}}\cdot x^{\frac{1}{2}}=x^{?}$

(e) $x^{-\frac{3}{2}}\cdot x=x^{?}$

(f) ${\left(\frac{x^4}{y^2}\right)}^{\frac{3}{2}}=?$