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Exponents — Maths STD 7 — Question

Maharashtra BoardEnglish MediumSTD 7MathsExponents2 Marks
Question
Express the following as a rational number:
$\Big(\frac{-3}{4}\Big)^{-3}$
✓

Answer

$\Big(\frac{-3}{4}\Big)^{-3}=\Big(\frac{-4}{3}\Big)^3$
$=\Big(\frac{-4}{3}\Big)\times\Big(\frac{-4}{3}\Big)\times\Big(\frac{-4}{3}\Big)$
$=\frac{(-4)\times(-4)\times(-4)}{3\times3\times3}$
$=\frac{-64}{27}$

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