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Evaluate:(i) ∛36 × ∛384(ii) ∛96 × ∛144 |
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Answer» (i) ∛36 × ∛384 As we know,∛a × ∛b = ∛(a×b) Now, ∛36 × ∛384 = ∛(36×384) = ∛(2×2×3×3) × (2×2×2×2×2×2×3×3×3) = ∛(23×23×23×33) = 2×2×2×3 = 24 (ii) ∛96 × ∛144 As we know, ∛a × ∛b = ∛ (a×b) Now, ∛96 × ∛144 = ∛ (96×144) = ∛ (2×2×2×2×2×3) × (2×2×2×2×3×3) = ∛(23×23×23×33) = 2×2×2×3 = 24 |
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