please help me with this question
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Step-by-step explanation:
Given that,
[( 4 )^-1 - ( 5 )^-1 ]^2 × [ 5/8 ]^-1 (∵" ^ " this symbol means " to the power of ")
= [ ( 1/4 ) - ( 1/5 ) ]^2 × [ 1 / (5/8) ] (∵ a ^- m = 1 / (a ^m) )
= [ ( 5 - 4 ) / 20 ]^2 × [ 8/5 ] (∵ lcm of 4 and 5 is 20 )
= [ 1 /20 ]^2 × [ 8/5 ]
= [ ( 1 )² / (20 )² ] × [ 8 / 5 ]
= [ 1 / 400 ] × [ 8/5 ]
= ( 1 × 8 ) / ( 400 × 5 )
= 8 / 2000
= 1/ 250 is the answer.
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