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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#

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