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Solution :-
Let us assume that, (-5/8)^(-2) is divided by x so that the quotient is (-3/2)
so,
→ (-5/8)^(-2) ÷ x = (-3/2)
using a^(-m) = a^m
→ {1/(-5/8)²} ÷ x = (-3/2)
→ {1/(25/64)} ÷ x = (-3/2)
→ (64/25) ÷ x = (-3/2)
→ x = (64/25) ÷ (-3/2)
→ x = (64/25) * (-2/3)
→ x = (-128/75) (Ans.)
Hence, when we divide (-5/8)^(-2) by (-128/75) we get (-3/2) as quotient .
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