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My daughters homework?

Is this correct?

(-4)^{-5} = 1/ -4^{5}

Hope this is written out correctly, tried to post an image but it did not work

I have no idea what she is talking about so any help would be most appreciated

Lionel

3 Answers

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  • ?
    Lv 7
    5 years ago
    Favorite Answer

    Technically/mathematically yes, because the answer is the same either way (Because you are raising a negative to an ODD power) but the clearest is [note parentheses] 1/(-4)^5 ... = -1/1024 (Jeremy is okay, too).

    example: -3^4 = -81 (as per the rules of operation, remembered by PEDMAS) ... whereas (-3)^4 = +81

    P S I use any and all DELIMITERS ... ( ) { } [ ] > < " " for clarity [computers only use parentheses]

  • Anonymous
    5 years ago

    -4^-5 = 1/-4^5 We don't need the goofy symbols because there is no ambiguity. When we do need them, we only use parentheses.

    A minus power means the inverse, nothing more. That is all this statement says.

  • 5 years ago

    yes that is correct, but it isn t simplified. the final answer would be - (1/1024).

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