Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 7 - Exponents and Exponential Functions - 7-1 Zero and Negative Exponents - Practice and Problem-Solving Exercises: 52

Answer

The answer is $10^{-2}$

Work Step by Step

To write $\frac{1}{100}$ in the form with the power of 10 and negative exponent, we can change the equation and bring the 100 to the numerator. We can write 100 with respect to 10 as $10^{2}$=100. Since 10 has an exponent of 2, the exponent changes from positive 2 to negative 2 when we bring it from the denominator to numerator. $\frac{1}{100}$ = $\frac{1}{10^{2}}$= $10^{-2}$
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