Math, asked by nazimnachu, 1 year ago

simplify [-1/27]^-2/3. can any one help?

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Answered by ArchitectSethRollins
2
Hi friend
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Your answer
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( \frac{ - 1}{27} ) {}^{ \frac{ - 2}{3} }  \\  \\  =  ( - 27) {}^{ \frac{ - 2}{3} }  \:  \:  \:  \: (reciprocal) \\  = ( - 3) {}^{ - 3 \times  \frac{ - 2}{3} }  \\  \\  = ( - 3) {}^{ \frac{2}{1} }  \\  \\  = ( - 3) {}^{2}  \\  \\  = ( - 3 \times  - 3) \\  \\  = 9
Therefore
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The answer is 9.

HOPE IT HELPS

#ARCHITECTSETHROLLINS

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