Question

Simplify:
[(4)power-1-(5)power-1]power2×(5/8)power-1

Answer 1

Answer:

$( {4}^{ - 1} - {5}^{ - 1} ) ^{2} \times \frac{5}{8} ^{ - 1}$

$( \frac{1}{4} - \frac{1}{5}) ^{2} \times \frac{8}{5}$

$( \frac{5 - 4}{20} ) ^{2} \times \frac{8}{5}$

$\frac{1}{400} \times \frac{8}{5}$

$= \frac{1}{50} \times \frac{1}{5}$

$\frac{1}{250}$

Hope it helps...

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Answer 2

Answer:

[(4)^-1-(5)^-1]^2×(5/8)^-1

=[-4-5]^2×(-5/8)

=[-9]^2×(-5/8)

81×(-5/8)

=-405/8

=-50.62(answer)