# Math Ms.Sue

posted by Deborah

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

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

Thank You.

1. Steve

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

2. Deborah

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

3. Steve

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.

4. Deborah

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

5. Steve

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

6. Lauryn

So it's d???

7. That Girl

What is this???

8. boop

yes its d

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