I now that 4^(n+1) is the same as4^(n)*4.

But can this mathematical law be applied in any case?

For example is also true (x+1)^(n+1)=(x+1)^(n)*(x+1)?

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- Feb 10th 2011, 10:13 AMkapitalexponents
I now that 4^(n+1) is the same as4^(n)*4.

But can this mathematical law be applied in any case?

For example is also true (x+1)^(n+1)=(x+1)^(n)*(x+1)? - Feb 10th 2011, 10:39 AMRabolisk13
Yes, it can be applied in any case. First, let's define exponentiation.

$\displaystyle a^0 = 1 \ a^1 = a \ a^2 = a^1 \cdot a^1 \ a^3 = a^2 \cdot a^1 $

$\displaystyle a^{n+1} = a^n \cdot a^1 $ is the very definition of integer exponentiation. - Feb 10th 2011, 12:30 PMArchie Meade
- Feb 10th 2011, 07:37 PMWilmer