Question

Simplify the expression (1/4ab)^-2

Answer 1

`(16)/(a^(2)b^(2))`

Explanation:

we have

`((1)/(4)ab)^(-2)`

Remember that

`((a)/(b))^(-x)=((b)/(a))^(x)=(b^(x))/(a^(x))`

so

`((1)/(4)ab)^(-2)=((4)/(ab))^(2)=(16)/(a^(2)b^(2))`

Answer 2

(1/4ab)^(-2)
(1/4)^(-2)(a)^(-2)(b)^(-2)
(4)^(2)(1/a(^2))(1/b(^2))
16/((a^2)(b^2))