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Powers — Maths STD 8 — Question

Maharashtra BoardEnglish MediumSTD 8MathsPowers1 Mark
MCQ
For any two non$-$zero rational nmbers $a $ and $b,\text{a}^{4}\div\text{b}^4$ is equal to:
  • A
    $(\text{a}\times\text{b})^0$
  • B
    $(\text{a}\times\text{b})^{10}$
  • ✓
    $(\text{a}\times\text{b})^5$
  • D
    $(\text{a}\times\text{b})^{25}$
✓

Answer

Correct option: C.
$(\text{a}\times\text{b})^5$
$\text{a}^{\text{n}}\times\text{b} ^{\text{n}}=(\text{a}\times{\text{b}} )^\text{n}$
Hence,
$\text{a}^\text{5}\times\text{b}^5=(\text{a}\times\text{b} )^5$

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