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Question
`(13/14)^5 ÷ (_)^2 = (13/14)^3`
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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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