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Exponents and Powers — MATHS STD 7 — Question

Gujarat BoardEnglish MediumSTD 7MATHSExponents and Powers1 Mark
MCQ
$\left(5^7÷5^2\right) \times\left(3^6÷3^2\right)$ is equal to
  • A
    1426
  • B
    1242
  • ✓
    253125
  • D
    101962
✓

Answer

Correct option: C.
253125
(c) 253125
$\left(5^7 \div 5^2\right) \times\left(3^6÷3^2\right)$
$\Rightarrow \quad\left(5^{7-2}\right) \times\left(3^{6-2}\right) \quad\left[\because a^m \div a^n=a^{m-n}\right]$
$\Rightarrow \quad 5^5 \times 3^4$
$\Rightarrow 3125 \times 81=253125$

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