Question

How do you simplify `(e ^ { 3} ) ^ { 2} e ^ { 2}`?

Answer 1

See the entire simplification process below:

Explanation:

First, use this rule of exponents to simplify the term in parenthesis:

`(x^color(red)(a))^color(blue)(b) = x^(color(red)(a) xx color(blue)(b))`

`(e^color(red)(3))^color(blue)(2)e = e^(color(red)(3) xx color(blue)(2))e = e^6e`

Now, we can use these two rule of exponents to complete the simplification:

`a = a^color(blue)(1)` and `x^color(red)(a) xx x^color(blue)(b) = x^(color(red)(a) + color(blue)(b))`

`e^color(red)(6)e = e^color(red)(6)e^color(blue)(1) = e^(color(red)(6) + color(blue)(1)) = e^7`