How do you simplify (n^3p)^4?

1 Answer
Jan 26, 2017

See the entire simplification process below:

Explanation:

To simplify this expression use these two rules of exponents:

a = a^color(red)(1)

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

We can now rewrite and simplify the expression as:

(n^3p)^4 -> (n^3p^color(red)(1))^4 -> n^(3xx4)p^(color(red)(1)xx4) ->

n^12p^4