Question

How do you simplify `(2k^4)^4` and write it using only positive exponents?

Answer 1

See the entire simplification process below:

Explanation:

Use these two rules for exponents to simplify this expression:

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

`(2k^4)^4 = (2^color(red)(1)k^color(red)(4))^color(blue)(4) = 2^(color(red)(1) xx color(blue)(4))k^(color(red)(4) xx color(blue)(4)) = 2^4k^16 = 16k^16`