Question

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

Answer 1

See a solution process below:

Explanation:

First, use this rule of exponents to rewrite the term within the parenthesis:

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

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

Now, use this rule of exponents to remove the outer exponent:

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

`(2^color(red)(1)x^color(red)(3)y^color(red)(1))^color(blue)(4) => 2^(color(red)(1) xx color(blue)(4))x^(color(red)(3) xx color(blue)(4))y^(color(red)(1) xx color(blue)(4)) => 2^4x^12y^4 => 16x^12y^4`