Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter P - Section P.2 - Exponents and Scientific Notation - Exercise Set - Page 32: 141

Answer

False. $\frac{8\times10^{30}}{4\times10^{-5}}=2\times10^{35}$

Work Step by Step

$\frac{8\times10^{30}}{4\times10^{-5}}=\frac{8}{4}\times\frac{10^{30}}{10^{-5}}=2\times10^{35}$ When you divide by a number with a negative exponent, it's the same as multiplying by that number with a positive exponent. $\frac{5}{2^{-3}}=5\times2^3$ That's why ten is to the 35th, not 25th power.
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