## Precalculus: Mathematics for Calculus, 7th Edition

a) $z^4$ b) 16$a^{20}$ c) -54$z^9$
a) $\frac{z^{2}z^{4}}{z^{3}z^{-1}}$ = $\frac{z^{2+4}}{z^{3-1}}$ = $\frac{z^{6}}{z^{2}}$ = $z^{6-2}$ = $z^4$ b) $(2a^3$$a^2)^4 = (2a^{3+2})^4 = (2a^{5})^4 = 2^{4}$$a^{5\times4}$ = 16$a^{20}$ c) $(-3z^2$)$^3$(2$z^3$) = - $3^3$$z^{2\times3}(2z^3) = -27\times2z^6$$z^3$ = -54$z^{6+3}$ = -54$z^9$