Thread: exponents

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)?

Yes, it can be applied in any case. First, let's define exponentiation.



is the very definition of integer exponentiation.

Originally Posted by kapital

I know that 4^(n+1) is the same as 4^(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)?

Your first example is

for

Your second example is

for

Originally Posted by kapital

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

Well, assign a value to x and n and try it out...