I am trying to simplify this problem:
[5^(a+b)^2] / [5^(a-b)^2
The first step I am taking is to apply the square to the (a+b) and (a-b) to get the following:
[5^(a^2 + 2ab + b^2)] / [5^(a^2 - 2ab + b^2)]
Simplifying that I thought it should be:
5^(a^4 + b^4)
however, the answer in the book says that it is: 5^(4ab)
How is that possible?
[5^(a+b)^2] / [5^(a-b)^2
The first step I am taking is to apply the square to the (a+b) and (a-b) to get the following:
[5^(a^2 + 2ab + b^2)] / [5^(a^2 - 2ab + b^2)]
Simplifying that I thought it should be:
5^(a^4 + b^4)
however, the answer in the book says that it is: 5^(4ab)
How is that possible?













