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Question
`(13/14)^5 ÷ (_)^2 = (13/14)^3`
Solution
`(13/14)^5 ÷ underlinebb((13/14))^2 = (13/14)^3`
Explanation:
Let `(13/14)^5 ÷ (x)^2 = (13/14)^3`
⇒ (x)2 = `(13/14)^5/(13/14)^3`
⇒ (x)2 = `(13/14)^(5-3)` ......`[∵ a^m/a^n = a^(m-n)]`
⇒ (x)2 = `(13/14)^2`
Since, powers are same
∴ x = `13/14`
Hence, `(13/14)^5 ÷ (13/14)^2 = (13/14)^3`
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