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.
yes its d
(D)
'cause
(14x)^0 = 1
Steve these - signs are throwing me off....so even though that is - (14x)to the 0 - which = 1 it is a negative still?
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.
ok...that helped - I get it...thank you
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
So it's d???
What is this???
To simplify the expression -(14x)^0y^-7z, we'll break it down step by step:
1. Start by simplifying the expression inside the parentheses: (14x)^0 becomes 1, since any number raised to the power of 0 is always equal to 1.
The expression now becomes 1y^-7z.
2. Next, simplify y^-7. When we have a negative exponent, we can rewrite it as the reciprocal of the positive exponent. Therefore, y^-7 becomes 1/y^7.
The expression now becomes 1/y^7 * z.
3. Finally, since multiplying by 1 doesn't change the value, we can omit the 1. So the simplified form is just z/y^7.
Based on the given options, your answer is correct: C.) z/y^7.