Question

How do you simplify `(3z^2)^2` and write it using only positive exponents?

Answer 1

See the solution process below:

Explanation:

Use these two rules of exponents to simplify:

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

`(3z^2)^2 = (3^color(red)(1)z^color(red)(2))^color(blue)(2) = 3^(color(red)(1) xx color(blue)(2))z^(color(red)(2) xx color(blue)(2)) = 3^2z^4 = 9z^4`