the3935 the3935

06-12-2020
Mathematics

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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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Hrishii Hrishii

06-12-2020

Step-by-step explanation:

[tex] \frac{1}{100} = \frac{1}{ {10}^{2} } = {10}^{ - 2} \\ \\ reason \\ \: \because \: \frac{1}{ {a}^{2} } = {a}^{ - 2} \\ \\ \implies \: \frac{1}{ {10}^{2} } = {10}^{ - 2} [/tex]

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