If (5/7)^(-4) × (5/7)^3 = (5/7)^(5x-2), then x is—
A.1/5✓ Correct
B.2/5
C.3/5
D.4/5
Explanation
Using laws of exponents, when bases are same: (5/7)^(-4) × (5/7)^3 = (5/7)^(-4+3) = (5/7)^(-1). So (5/7)^(-1) = (5/7)^(5x-2). Equating exponents: -1 = 5x - 2, which gives 5x = 1, so x = 1/5.
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