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a . (5^-1 ÷ 3^-1)^2
= (1/5 × 3)^2
= (3/5)^2
= 9/25 (ans.)
b . (4^-1 ÷ 7^-1)^-1 ÷ (3^-1 ÷ 7^-1)^-1
= (1/4 × 7)^-1 ÷ (1/3 × 7)^-1
= (7/4)^-1 ÷ (7/3)^-1
= 4/7 × 7/3
= 4/3 (ans.)
c . [(1/3)^-3 - (1/2)^-3] ÷ (1/4)^-2
= [(3)^3 - (2)^3] ÷ (4)^2
= (27 - 8) × 1/16
= 19/16
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