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Exponents and Powers — MATHS STD 7 — Question

Gujarat BoardEnglish MediumSTD 7MATHSExponents and Powers1 Mark
MCQ
Mark $(\checkmark)$ tick against the correct answer in the following:
$\bigg\{\Big(\frac{1}{3}\Big)^2\bigg\}^4=?$
  • A
    $\Big(\frac{1}{3}\Big)^6$
  • ✓
    $\Big(\frac{1}{3}\Big)^8$
  • C
    $\Big(\frac{1}{3}\Big)^{16}$
  • D
    $\Big(\frac{1}{3}\Big)^{24}$
✓

Answer

Correct option: B.
$\Big(\frac{1}{3}\Big)^8$

$\because \bigg\{\Big(\frac{1}{3}\Big)^2\bigg\}^4=\Big(\frac{1}{3}\Big)^{2\times4}$
$=\Big(\frac{1}{3}\Big)^8$

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