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Question
Find the value of n.
`6^n/6^-2 = 6^3`
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Solution
Given, `6^n/6^-2 = 6^3`
Using law of exponents,
`6^n/6^-2 = 6^3` ...[∵ a is non-zero integer]
⇒ 6n + 2 = 63 ...[∵ am ÷ an = (a)m – n]
On comparing both sides, we get
n + 2 = 3
⇒ n = 1
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