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December 8th, 2014, 06:57 PM  #1 
Newbie Joined: Dec 2014 From: WA, USA Posts: 2 Thanks: 0  x variable with 0 exponent and coefficient
Prethanks to whoever uses some of their time to answer my question I have problem 7x to the zero power I am to understand the answer is 1 even though this would appear to go against the order of operations? That I should still look at it as anything to the zero power is 1? And.. if the answer were to be 7 then the problem would instead be (7)x to the zero power? Thank you, David 
December 8th, 2014, 07:03 PM  #2 
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,963 Thanks: 1148 Math Focus: Elementary mathematics and beyond 
$$(7x)^0=1,\quad x\ne0$$$$7x^0=7,\quad x\ne0$$ Any real number, excluding zero, is 1 when raised to the zero power. 
December 8th, 2014, 07:14 PM  #3 
Math Team Joined: Dec 2013 From: Colombia Posts: 7,685 Thanks: 2666 Math Focus: Mainly analysis and algebra 
$$\left. \begin{align*}(7x)^0 = 7^0x^0 &= 1 \\ 7x^0 &= 7\end{align*} \right\rbrace (x \ne 0)$$ Anything (except zero) to the zeroth power is indeed one. Last edited by v8archie; December 8th, 2014 at 08:10 PM. 
December 8th, 2014, 07:21 PM  #4 
Newbie Joined: Dec 2014 From: WA, USA Posts: 2 Thanks: 0 
Thank you! Error in my math book!


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