Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 1 - Section 1.2 - Exponents and Radicals - 1.2 Exercises: 34

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$z^9$
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