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5(power) m-2 × 5(power) -7 = 5(power) -3
5(power) {[m-2]-7} = 5(power) -3
5(power) m-9 = 5(power) -3
When bases are same power get cancelled,
Therefore, m-9 = 3
m = 3+9
m = 12
Hence, the value of m = 12
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