## anonymous 4 years ago Explain why (–4x)0 = 1, but –4x0 = –4.

1. agreene

I assume you're asking why: $(-4x)^0=1$ whilst $-4x^0=-4$ and the answer is that anything to the 0 is defined as 1. and the order of operations: (-4x)^0 is saying the variable and coefficient are to the 0 while -4x^0 is only taking the variable to the 0 which means: $-4x^0\implies-4(1)=-4$

2. anonymous

what agreen said. for the same reason that $2\times 3^2=2\times 9=18$ but $(2\times 3)^2=6^2=36$