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What is the value of -(16^3/4) in math?

10 Answers

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  • ?
    Lv 7
    2 months ago

    -16^(3/4)=-[(2^4)^(3/4)]=-[2^3]=-8.

  • 2 months ago

    16^(3/4)=8

    -(16^(3/4))=-(16^.75)=    -8

  • 2 months ago

    I will clarify why you're getting two different answers.

    According to the Order of Operations, you should evaluate the exponent first, i.e. 16^3 = 4096, and then the division, so 4096/4 = 1024. So the correct answer is -1024.

    However, if you meant -(16^(3/4)), then you need to evaluate the division first, so 3/4 = 0.75, and then the exponent, so 16^0.75 = 8, so the answer is -8.

  • Rita
    Lv 6
    2 months ago

    Answer: (16)3/4 = 8

    The laws of exponents are tabulated below.

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  • Anonymous
    2 months ago

    -(16·⁷⁵) = -1024

    Source(s): Been there
  • ?
    Lv 7
    2 months ago

    I will assume -16 Raised to the 3/4 power.

    Lets do it this way:   3/4 = .75

    16^.75 = -8

    I used a Calculator (HP41C).

  • 2 months ago

     -(16^3/4) = -1024

  • Pope
    Lv 7
    2 months ago

    You did mean what you wrote, right?

    -(16³/4) = -(4096/4) = -1024

  • 2 months ago

    16^(3/4)

    know that 16 = 2^4

    -(2^4)^(3/4) = -2^(4 * 3/4) = -2^3 = -8

    answer -8

  • ?
    Lv 7
    2 months ago

    I know the 4th root of 16 is 2

    2^3 is 8

    -8

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