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Mathematics 8 Online
OpenStudy (victoriasushchik):

6^-2

OpenStudy (whitmorerad12):

whats your question?

OpenStudy (victoriasushchik):

That^

OpenStudy (whitmorerad12):

do you need to simplify

satellite73 (satellite73):

hint \[b^{-n}=\frac{1}{b^n}\] but \(b=6, n=2\)

satellite73 (satellite73):

i mean "PUT"

OpenStudy (victoriasushchik):

But it says that it's wrong

OpenStudy (helpneeded1914):

12

satellite73 (satellite73):

did you write \[\frac{1}{6^2}\]?

OpenStudy (victoriasushchik):

No

satellite73 (satellite73):

then it was wrong unless you wrote \[\frac{1}{36}\]

OpenStudy (victoriasushchik):

Yes that was right thanks sir

satellite73 (satellite73):

lol i like "sir"

OpenStudy (helpneeded1914):

oh my bad. i confused it. I thought it was 6*-2, but it was actually 6*6

OpenStudy (mathstudent55):

@helpneeded1914 Had it been 6 * (-2), the answer would have been -12, not 12. Had it been 6 * 6, the answer would have been 36, but that's not it either. In fact, it is neither of those. To evaluate \(\Large 6^{-2} \), use the definition of a negative exponent: \(\Large a^{-n} = \dfrac{1}{a^n} \) Solving this specific problem: \(\Large 6^{-2} = \dfrac{1}{6^2} = \dfrac{1}{6 \times 6} = \dfrac{1}{36} \)

OpenStudy (helpneeded1914):

@mathstudent55 yes due to the fact that it would have ended in a decimal where the 7 continously repeated, so the number would be better reffered to in a decimal.

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