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Powers — Maths STD 8 — Question

Maharashtra BoardEnglish MediumSTD 8MathsPowers1 Mark
Question
Simplify:$(5^{-1}\div6^{-1})^3$
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Answer

$(5^{-1}\div6^{-1})^3$
$=\Big(\frac{1}{5}\div\frac{1}{6}\Big)^3=\Big(\frac{1}{5}\times\frac{6}{1}\Big)^3$
$=\Big(\frac{6}{5}\Big)^3=\frac{6\times6\times6}{5\times5\times5}=\frac{216}{125}$

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