Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 7 - Exponents and Exponential Functions - 7-2 Scientific Notation - Practice and Problem-Solving Exercises - Page 424: 39


The answer is 2.7$\times$$10^{-8}$

Work Step by Step

To solve for the product of (9$\times$$10^{7}$)(3$\times$$10^{-16}$), you multiply 9 by 3 which gives you 27. to multiply $10^{7}$ by $10^{-16}$, you keep the base 10 and add the exponents as it is one of the laws which equals $10^{-9}$. The solution is 27$\times$$10^{-9}$. However, for scientific notation you can only have one number before the decimal place so you have to rewrite it as 2.7$\times$$10^{-8}$, as since you moved back a decimal place, you added one to your exponent.
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