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Express (5/7)-1× (7/4)-1 as a rational number. |
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Answer» (5/7)-1× (7/4)-1 We know that, = (5/7)-1= (7/5)1 … [∵ (a/b)-n = (b/a) n] = (7/4)-1 = (4/7)1 … [∵ (a/b)-n = (b/a) n] = (7/5) × (4/7) = (7×4)/ (5×7) On simplifying, = (1×4)/ (5×1) = 4/5 |
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