Simplify Each Expression $(-2)^{5} \cdot(-2)^{3} \cdot(-2)^{7}$ (B) $\left(2 s^{2} t\right)^{4}$ (C) $\left(-4 x y^{2}\right)^{0}$

Essay

Simplify each expression. Leave answers with exponents. Assume that all variables represent nonzero real numbers.
(a) $(-2)^{5} \cdot(-2)^{3} \cdot(-2)^{7}$
(b) $\left(2 s^{2} t\right)^{4}$
(c) $\left(-4 x y^{2}\right)^{0}$
(d) $\left(-\frac{2}{3}\right)^{3}$
(e) $\left(\frac{w^{2}}{x^{3}}\right)^{2}$