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Exponents (Including Laws of Exponents) — MATHS STD 7 — Question

ICSE BoardEnglish MediumSTD 7MATHSExponents (Including Laws of Exponents)2 Marks
Question
Evaluate: $\left(\frac{2}{3}\right)^3 \times\left(\frac{3}{4}\right)^2$
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Answer


$\begin{aligned} & \left(\frac{2}{3}\right)^3 \times\left(\frac{3}{4}\right)^2 \\ & =\left(\frac{2}{3}\right) \times\left(\frac{2}{3}\right) \times\left(\frac{2}{3}\right) \times\left(\frac{3}{4}\right) \times\left(\frac{3}{4}\right) \\ & =\frac{8}{27} \times \frac{9}{16}=\frac{1}{6}\end{aligned}$

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