Explain why (–4x)0 = 1, but –4x0 = –4.

Question

aravindg · Answer

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parthkohli · Answer

-_-

anonymous · Answer

(–4x)^0 = 1, but –4x^0 = –4.

parthkohli · Answer

Do you mean to say $(-4x)^0 =-1$?

anonymous · Answer

anything raised to the power of zero is 1

anonymous · Answer

so (-4x)^0 = 1

and you have 

(-4)(x^0) = (-4)(1) = -4

parthkohli · Answer

Your PEMDAS says that you must first raise $x$ to the power zero.$$-4 x ^0$$$$= -4 \times 1$$$$= -4$$

parthkohli · Answer

But PEMDAS also says that you have to consider the parentheses first.$$(-4x)^0$$$$= (-4)^0 \times x^0$$$$=1 \times 1$$$$= 1$$

ryan123345 · Answer

the parenthesis is basically telling u that u are taking the whole equation -4x and raising it to the 0 power which makes it 1. for the -4x0 u are actually raising the x to the 0 power making it 1 then u multiply the -4 to the 1 making it -4 :) u just have to pay attention to the parenthesis.