simplify :12⁶×8²÷12⁴×64
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Answer:
12⁶×8²/12⁴×64
= (2×2×3)⁶×(2³)²/(2×2×3)⁴×2⁶
= 2⁶×2⁶×3⁶×2⁶/2⁴×2⁴×3⁴×2⁶
(by cancelling 2⁶ on both sides )
= 2⁶×2⁶×3⁶/2⁴×2⁴×3⁴
( since a^m × a^n = a^m+n )
= 2¹²×3⁶/2⁸×3⁴
( since a^m ÷ a^n = a^m-n )
= 2^12-8 × 3^6-4
= 2⁴× 3²
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