Question

If m/n = (3/4)⁵ ÷( 3/4 )³ , then (n/m )⁻² equals

a) 81/256
b) 18/281
c)75/256
d)81/246

Answer 1

`(m)/(n) = ({ (3)/(4) )}^(2) = (9)/(16)`

`(n)/(m) = (16)/(9)`

`{ ((n)/(m)) }^( - 2) = { ((16)/(9)) }^( - 2) = {( (9)/(16)) }^(2) = (81)/(256)`

The correct answer is A.