Question

How do you simplify `(5x^2)^3`?

Answer 1

See the entire solution process below:

Explanation:

Use these two rules for exponents to simplify this expression:

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

`(5x^2)^3 = (5^color(red)(1)x^color(red)(2))^color(blue)(3) = 5^(color(red)(1) xx color(blue)(3))x^(color(red)(2) xx color(blue)(3)) = 5^3x^6 = 125x^6`