Math Ms.Sue

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What is the Simplified form?
-(14x)^0y^-7z.

my answer is C.

A.)-14z/y^7
B.)14z/y67
C.)z/y^7
D.)-z/y^7

Thank You.

  • Math Ms.Sue -

    (D)
    'cause
    (14x)^0 = 1

  • Math Ms.Sue -

    Steve these - signs are throwing me off....so even though that is - (14x)to the 0 - which = 1 it is a negative still?

  • Math Ms.Sue -

    yes. (14x)^0 = 1, so -(14x)^0 = -(1) = -1

    now, (-14x)^0 = 1, because the - sign is part of what is raised to the 0 power.

    Powers are done before +/- unless parens change the order.

  • Math Ms.Sue -

    ok...that helped - I get it...thank you

  • Math Ms.Sue -

    It's nice when it finally clicks, eh?

    Maybe it will help if you consider a leading "-" as preceded by a 0. So,

    -x^2 = 0-x^2

    now it is clear that the powers get done before the subtraction.

    -(-2x)^-3 = 0-(-2x)^-3 = 0 - 1/(-2x)^3 = 0 - 1/-8x^3 = 1/8x^3

  • Math Ms.Sue -

    So it's d???

  • Math Ms.Sue -

    What is this???

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