# Math Help - If ... Calculate

1. ## If ... Calculate

If : $f(x)=x^{(x+1)}\times (x+2)x^{(x+3)}$
Calculate : $f(0)-f(-1)+f(-2)-f(-3)$

2. Originally Posted by dhiab
If : $f(x)=x^{(x+1)}\times (x+2)x^{(x+3)}$
Calculate : $f(0)-f(-1)+f(-2)-f(-3)$
$x^{x+1}x^{x+3}=x^{x+1+x+3}=x^{2x+4}$

$x^{2x+4}(x+2)=x^{2x+4}x+2x^{2x+4}=x^{2x+4+1}+2x^{2 x+4}=x^{2x+5}+2x^{2x+4}$

3. ## Suggestion

I think natural logs will help you out.

4. Originally Posted by wonderboy1953
I think natural logs will help you out.
Why not just plug in the values?

$0^4=0$