Answer
a) $z^4$
b) 16$a^{20}$
c) -54$z^9$
Work Step by Step
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$$z^{2\times3}$(2$z^3$) = -27$\times$2$z^6$$z^3$ = -54$z^{6+3}$ = -54$z^9$
