Simplifying x(((1^(x+1))/(x+1))

Question

Please help me understand how to simplify

 

x((1^x+1)/(x+1))

 

to get this:

 

x/x+1

 

Thank you!

Answer 1

This is manipulated using the products of powers exponential property, which is a^b * a^c = a^b+c. 1^x+1 = 1^x * 1¹. 1 to the first power is 1, and remember that 1 raised to any number is still one. (Even ±∞) So 1^x+1 = 1. That leaves you with x/(x+1)