Question

(2^-1÷5^-1)^2×(-5/8)^-2​

Answer 1

Solution:

( 2^-1 ÷ 5^-1)² × (-5/8)^-2

= (2^-1) × 5¹ × (-8/5)²

/*

i) (a/b)^-n = (b/a)ⁿ

ii ) a^-n = 1/aⁿ

*/

= 1/2 × 5/1 × (8 × 8)/(5×5)

= ( 5×8×8)/(2×5×5)

After cancellation, we get

= (4×8)/5

= 32/5

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