Simplify (-12)^4 ×9^3×16/ 6^3×8^3×4
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answer is 546.75
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12⁴ × 9³ × 4/6³ × 8² × 27
= (2²×3)⁴ × (3²)³ × 2²/(2×3)³× (2³)² × 3³
= (2²)⁴ × (3)⁴ × 3²*³ × 2²/2³ × 3³ × 2²*³ × 3³
= 2⁸ × 2² × 3⁴ × 3⁶/2³ × 2⁶ × 3³ × 3³
= 2⁸+² × 3⁴+⁶/2³+⁶ × 3³+³
= 2¹⁰ × 3¹⁰/2⁹ × 3⁶
= 2¹⁰-⁹ × 3¹⁰-⁶
= 2¹ × 3⁴
= 2 × 3⁴
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