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Exponents — Maths STD 7 — Question

Maharashtra BoardEnglish MediumSTD 7MathsExponents2 Marks
Question
Simplify:
$\Big(\frac{-3}{2}\Big)^{3}\div\Big(\frac{-3}{2}\Big)^{6}$
✓

Answer

$\Big(\frac{-3}{2}\Big)^{3}\div\Big(\frac{-3}{2}\Big)^{6}$
$=\Big(\frac{-3}{2}\Big)^{3-6}=\Big(\frac{-3}{2}\Big)^{-3}$
$=\Big(\frac{-2}{3}\Big)^3=\frac{-2}{3}\times\frac{-2}{3}\times\frac{-2}{3}$
$=\frac{-8}{27}$

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