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Exponents and Powers — MATHS STD 7 — Question

Gujarat BoardEnglish MediumSTD 7MATHSExponents and Powers1 Mark
MCQ
Simplify : $\big(\frac{1}{2}\big)^{-2}+\big(\frac{1}{3}\big)^{-2}+\big(\frac{1}{4}\big)^{-2}\text{_____}$
  • A
    $19$
  • ✓
    $29$
  • C
    $39$
  • D
    $49$
✓

Answer

Correct option: B.
$29$
We have $\big(\frac{1}{2}\big)^{-2}+\big(\frac{1}{3}\big)^{-2}+\big(\frac{1}{4}\big)^{-2}$
$=\big(\frac{2}{1}\big)^2+\big(\frac{3}{1}\big)^2+\big(\frac{4}{1}\big)^2$
$=(2^2+3^2+4^2)$
$=4+9+16=29$

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