Help needed with ratio test..

[bstime]

Here are two problems, already solved. I missed a day of lecture and now I am really kicking myself for it. The problem I am having is I do not understand how or why the denominators have changed in the instances where I have squared in blue. What has caused these changes in the denominator? Any help is MUCH appriciated. Thank you.

 

[stapel]

1) When you're multiplying fractions, there is no need to keep the factors in the same orders. For instance, (1/2)(3/4) is the same value as (1/4)(3/2). That's all they did here.

2) Here, they switched the numerators: (1/2)(3/4) = (3/2)(1/4). And they broke eⁿ⁺¹ into two, using exponent rules: eⁿe¹.

:wink:

Eliz.

 

[bstime]

:lol:

Thank you, very much.