SOLUTION: Why does {{{ x^(n-2)*x^1 = x^(n-1) }}}? please explain Thanks

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Question 1026144: Why does +x%5E%28n-2%29%2Ax%5E1+=+x%5E%28n-1%29+?
please explain
Thanks
Found 2 solutions by Boreal, MathTherapy:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
x^(n-2)*x=
you add exponents when you multiply like variables.
if n=3, it is x^1*x^1=x^2, and 2 is n-1
n-2 + 1 = n-1

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Why does +x%5E%28n-2%29%2Ax%5E1+=+x%5E%28n-1%29+?
please explain
Thanks 
x%5E%28n+-+2%29+%2A+x%5E1+=+x%5E%28n+-+1%29

x%5E%28n+-+2%29+%2A+x%5E1 

x%5E%28n+-+2+%2B+1%29 ---------- Applying a%5Eb+%2A+a%5Ec = a%5E%28b+%2B+c%29

highlight_green%28x%5E%28n+-+1%29%29