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: 11

Answer

a. $-2^{6}$ = -64 b. $(-2)^{6}$ = 64 c. $(\frac{1}{5})^{2}.(-3^{3})$ = $-\frac{27}{25}$

Work Step by Step

a. $-2^{6}$ = -($2\times2\times2\times2\times2\times2$) = -64 b. $(-2)^{6}$ = $(-2)\times(-2)\times(-2)\times(-2)\times(-2)\times(-2)$) = 64 c. $(\frac{1}{5})^{2}.(-3^{3})$ = $\frac{1}{5}\times\frac{1}{5}\times(-3)\times(-3)\times(-3)$) = $-\frac{27}{25}$
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