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Evaluate:(i) ∛(43 × 63)(ii) ∛(8×17×17×17)(iii) ∛(700×2×49×5) |
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Answer» (i) ∛(43 × 63) We know that for any two integers a and b, ∛(a×b) = ∛a × ∛b By using the property, ∛ (43 × 63) = ∛43 × ∛63 = 4 × 6 = 24 (ii) ∛(8×17×17×17) We know that for any two integers a and b, ∛(a×b) = ∛a × ∛b By using the property, ∛(8×17×17×17) = ∛8 × ∛17×17×17 = ∛23 × ∛173 = 2 × 17 = 34 (iii) ∛(700×2×49×5) ∛(700×2×49×5) = ∛(2×2×5×5×7×2×7×7×5) = ∛(23×53×73) = 2×5×7 = 70 |
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