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"Write 1/100 using a negative exponent other than -1. Answer: 10^-2." Why is 10^-2 the answer?

"Write 1/100 using a negative exponent other than -1. Answer: 10^-2." Why is 10^-2 the answer?
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"Write 1/100 using a negative exponent other than -1. Answer: 10^-2." Why is 10^-2 the answer?

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User AustinZ
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1 Answer

6 votes

Explanation:


(1)/(100) = \frac{1}{ {10}^(2) } = {10}^( - 2) \\ \\ reason \\ \: \because \: \frac{1}{ {a}^(2) } = {a}^( - 2) \\ \\ \implies \: \frac{1}{ {10}^(2) } = {10}^( - 2)

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User YAKOVM
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