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Question
`x^m/y^m = (y/x)^-m`
Options
True
False
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Solution
This statement is True.
Explanation:
RHS = `(y/x)^-m`
Using laws of exponents,
`(a/b)^m = a^m/b^m` and `a^-m = 1/a^m` ...[∵ a and b are non-zero integers]
∴ `(y/x)^-m = y^-m/x^-m = x^m/y^m`
LHS = RHS
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