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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"
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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 \[\frac{1}{36}\]
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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.