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Exponents and Powers — MATHS STD 7 — Question

Gujarat BoardEnglish MediumSTD 7MATHSExponents and Powers1 Mark
MCQ
$\left(\frac{2}{3}\right)^3 \times\left(\frac{5}{7}\right)^3$ is equal to
  • A
    $\left(\frac{10}{21}\right)^9$
  • B
    $\left(\frac{10}{21}\right)^6$
  • ✓
    $\left(\frac{10}{21}\right)^3$
  • D
    $\left(\frac{10}{21}\right)^0$
✓

Answer

Correct option: C.
$\left(\frac{10}{21}\right)^3$
(c) $\left(\frac{10}{21}\right)^3$
$\left(\frac{2}{3}\right)^3 \times\left(\frac{5}{7}\right)^3$
$\Rightarrow \quad\left(\frac{2}{3} \times \frac{5}{7}\right)^3=\left(\frac{10}{21}\right)^3 \quad\left[\because a^m \times b^m=(a b)^m\right]$

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