1.

Express (5/7)-1× (7/4)-1 as a rational number.

Answer»

(5/7)-1× (7/4)-1

We know that,

= (5/7)-1= (7/5)[∵ (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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