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Question
Which of the following is not equal to `((-5)/4)^4`?
Options
`(-5)^4/4^4`
`5^4/(-4)^4`
`- 5^4/4^4`
`(-5/4) xx (-5/4) xx (-5/4) xx (-5/4)`
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Solution
`bb(- 5^4/4^4)`
Explanation:
We know that, `(p/q)^m = p^m/q^m`
So, `((-5)/4)^4 = (-5)^4/(4)^4` or `((-5)/4)^4 = (5)^4/(-4)^4`
or `((-5)/4)^4 = ((-5)/4) xx ((-5)/4) xx ((-5)/4) xx ((-5)/4)`
Hence, `- 5^4/4^4` is not equal to 1.
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