# Tagged Questions

26 views

### Concerning Rules of Exponents & Absolute Value

I understand that one of the accepted definitions of the absolute value function is $\left| x \right| = \sqrt{x^2}$. However, I do not understand why if I substitute $-5$ in for $x$ that I can't do ...
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I need to find: 1. the best fitted value for $a$ in the power function 2. the best fitted value for $b$ in the power function Data given: I know that $b=bi$ and $a=e^{bo}$ --> my question is how ...
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### $|x|^{|x|}$ is continuous in $\mathbb{R}$

I'm trying to show this now my self, but still no go. There isn't really a concrete attempt that I can show.. Help?
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### for $n$ an integer, why is $n^0=1$ ??

This is so going to cost me.... I was wondering why for any integer $n$: $n^0 =1$. Perhaps It's because $n$ is a round number and if $m$ is a non negative integer, also round then: n^m = 1 \cdot ...
### For what $\alpha \in \mathbb R$ is $|x|^\alpha$ differentiable in $x=0$?
I came across the following question: For what $\alpha \in \mathbb R$ is $|x|^\alpha$ differentiable in $x=0$? What I have tried: Since for $\alpha = 1$ is clearly non-differentiable in ...