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Exponents and Powers — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSExponents and Powers2 Marks
Question
Evaluate
(i) $\frac{8^{-1} \times 5^3}{2^{-4}}$
(ii) $\left(5^{-1} \times 2^{-1}\right) \times 6^{-1}$
✓

Answer

(i) We have,
$
\begin{array}{l}
\frac{8^{-1} \times 5^3}{2^{-4}} \\
=\frac{2^4 \times 5^3}{8} \quad\left[\because a^{-m}=\frac{1}{a^m}\right] \\
=\frac{16 \times 125}{8}=2 \times 125=250
\end{array}
$
(ii) Ans. $\frac{1}{60}$

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