College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter P, Prerequisites - Section P.3 - Integer Exponents and Scientific Notation - P.3 Exercises - Page 23: 24


a. $z^{4}$ b. $16a^{20}$ c. $-54z^{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. $(2a^{3}a^{2})^{4} = (2a^{3+2})^{4}= (2a^{5})^{4}= (2^{4}a^{5\times4})=16a^{20}$ c. $(-3z^{2})^{3}(2z^{3}) = ((-3z^{2})\times(-3z^{2})\times(-3z^{2})) \times (2z^{3}) = (-27z^{2+2+2})\times (2z^{3}) = -27z^{6}\times 2z^{3} = -54z^{6+3} = -54z^{9} $
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.