Question

How do you simplify `(xy)^pi`?

Answer 1

See a solution process below:

Explanation:

We can rewrite the expression within the parenthesis using this rule of exponents:

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

`(xy)^pi => (x^color(red)(1)y^color(red)(1))^pi`

We can now eliminate the outer exponent using this rule of exponents:

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

`(x^color(red)(1)y^color(red)(1))^color(blue)(pi) => x^(color(red)(1)xxcolor(blue)(pi))y^(color(red)(1)xxcolor(blue)(pi)) => x^piy^pi`