Question

((4)^-1-(5)-1)^2*(5/8)^-1​

Answer 1

$((4)^{-1}-(5)^{-1})^2*(5/8)^{-1}$

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

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

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

$(\frac{1}{20} )^2 * \frac{8}{5}$   =>   $\frac{1}{20} * \frac{1}{20} * \frac{8}{5}$   =>   $\frac{8}{2000}$   =>  $\frac{1}{250}$

the answer is 1/250

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