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Question
For any two non-zero rational numbers x and y, x4 ÷ y4 is equal to ______.
Options
(x ÷ y)0
(x ÷ y)1
(x ÷ y)4
(x ÷ y)8
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Solution
For any two non-zero rational numbers x and y, x4 ÷ y4 is equal to (x ÷ y)4.
Explanation:
Using law of exponents,
`a^m/b^m = (a/b)^m = (a ÷ b)^m` ...[∵ a and b are non-zero integers]
Similarly, `x^4 ÷ y^4 = (x/y)^4 = (x ÷ y)^4`
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