How do you simplify (3n^4y^2)^2(3n4y2)2?

1 Answer
Jun 1, 2018

See a solution process below:

Explanation:

First, use this rule for exponents to rewrite the 33 term:

a = a^color(red)(1)a=a1

(3n^4y^2)^2 => (3^color(red)(1)n^4y^2)^2(3n4y2)2(31n4y2)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(31n4y2)231×2n4×2y2×232n8y49n8y4