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Question
For any two non-zero rational numbers x and y, x5 ÷ y5 is equal to ______.
Options
(x ÷ y)1
(x ÷ y)0
(x ÷ y)5
(x ÷ y)10
Solution
For any two non-zero rational numbers x and y, x5 ÷ y5 is equal to `bb(underline((x ÷ y)^5)`.
Explanation:
Given, x5 ÷ y5 = `x^5/y^5`
As we know, `p^n/q^n = (p/q)^n`
Thus, `x^5/y^5 = (x/y)^5` = (x ÷ y)5
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