Find the value of m for which 5m ÷5−3 = 55. – InterviewSolution

1.

Find the value of m for which 5m ÷5−3 = 55.

Answer»

5^m ÷ 5⁻³ = 5⁵

5_m _{− (− 3)} = 55 (a_m ÷ a_n = a_{m − n})

5_{m + 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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