Algebra 1

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

Chapter 7 - Exponents and Exponential Functions - 7-5 Division Properties of Exponents - Practice and Problem-Solving Exercises: 30

Answer

$\frac{1}{10^{12}}$

Work Step by Step

Now, $1$ $hr=$ $3.6\times 10^{5}$ $picoseconds$ But $1$ $hr =$ $60$ $minutes=$ $60\times60$ $seconds=$ $3600$ $seconds$ Hence, $1$ $second=$ $\frac{3.6\times10^{15}}{3600}$ $picoseconds=$ $\frac{10^{15}}{10^{3}}$ $picoseconds=$ $10^{15-3}$ $picoseconds=$ $10^{12}$ $picoseconds$ (since $\frac{a^{m}}{a^{n}}=$ $a^{m-n}$) Thus, $1$ $picosecond=$ $\frac{1}{10^{12}}$ $seconds$
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