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Find the value of m for which 5m ÷5−3 = 55.
5m ÷ 5−3 = 55
5m− (− 3) = 55 (am ÷ an = am − n)
5m + 3 = 55
Since the powers have same bases on both sides, their respective exponents must be equal.
m + 3 = 5
m = 5 − 3
m = 2
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