Question

How do you evaluate `(3x^2y^4)^2`?

Answer 1

See a solution process below:

Explanation:

Use these rules for exponents to evaluate the expression:

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

`(3x^2y^4)^2 => (3^color(red)(1)x^color(red)(2)y^color(red)(4))^color(blue)(2) => 3^(color(red)(1)xxcolor(blue)(2))x^(color(red)(2)xxcolor(blue)(2))y^(color(red)(4)xxcolor(blue)(2)) => 3^2x^4y^8 =>`

`9x^4y^8`