Question

For any nonzero real numbers a and b and any integers m and t, how do you simplify `(-a^m/b^t)^(2t)`?

Answer 1

See a solution process below:

Explanation:

We can use this rule of exponents to simplify the expression"

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

`(-a^color(red)(m)/b^color(red)(t))^color(blue)(2t) => (-a)^(color(red)(m) xx color(blue)(2t))/(b)^(color(red)(t) xx color(blue)(2t)) => (-a)^(2mt)/(b)^(2t^2)`