Evaluate: 3√0.027/ 0.008 ÷ 3√0.09/0.04 -1
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Answer:
∛(0.027/0.008) ÷ √(0.09/0.04) – 1
= ∛(0.3×0.3×0.3/0.2×0.2×0.2) ÷ √(0.3×0.3/0.2×0.2)
= (∛(0.3)3 / ∛(0.2)3) ÷ (√(0.3)2 / √(0.2)2)
= (0.3/0.2) ÷ (0.3/0.2) -1
= (0.3/0.2 × 0.2/0.3) -1
= 1 – 1 = 0
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