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Indices — MATHEMATICS STD 9 — Question

ICSE BoardEnglish MediumSTD 9MATHEMATICSIndices3 Marks
Question
Evaluate the following: $(0.00243)^{-\frac{3}{5}}$
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Answer

$(0.00243)^{-\frac{3}{5}}$
$=\frac{1}{(0.00243)^{\frac{3}{5}}}$
$ =\frac{1}{\left(0.3^5\right)^{\frac{3}{5}}} $
$=\frac{1}{(0.3)^3}$
$=\frac{1}{0.027} .$

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