Question

Please simplify this. ​

Answer 1

Answer:

1/250

Step-by-step explanation:

[1/4 - 1/5]² × 8/5 (because a^-1 = 1/a)

[5 - 4/20]² × 8/5

[1/20]² × 8/5

1/400 × 8/5

1/250

HOPE IT HELPS....

Answer 2

$[ {(4)}^{ - 1} - {(5)}^{ - 1} ] {}^{2} \times ( \frac{5}{8} ) {}^{ - 1} \\ \\ = [ \frac{1}{4} - \frac{1}{5} ] {}^{2} \times \frac{8}{5} \\ \\ = [ \frac{5 - 4}{20} ] {}^{2} \times \frac{8}{5} \\ \\ = \frac{1}{ {20}^{2} } \times \frac{8}{5} \\ \\ = \frac{1}{400} \times \frac{8}{5} \\ \\ = \frac{1}{50} \times \frac{1}{5} \\ \\ = \frac{1}{250}$