How do you simplify #(3n^4y^2)^2#?

1 Answer
smendyka
Jun 1, 2018

See a solution process below:

Explanation:

First, use this rule for exponents to rewrite the #3# term:

#a = a^color(red)(1)#

#(3n^4y^2)^2 => (3^color(red)(1)n^4y^2)^2#

Now, use this rule for exponents to complete the simplification:

#(3^color(red)(1)n^color(red)(4)y^color(red)(2))^color(blue)(2) => 3^(color(red)(1) xx color(blue)(2))n^(color(red)(4) xx color(blue)(2))y^(color(red)(2) xx color(blue)(2)) => 3^2n^8y^4 => 9n^8y^4#

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