Question

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

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Solution

## 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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