Question

(5/6)^-2 without exponent

Answer 1

36/25

Explanation:

`((5)/(6))^(-2)=((6)/(5))^(2)\\((6)/(5))^2=(6)/(5)*(6)/(5)\\=(36)/(25)`

Steps:

Flip the fraction (negative exponent)

Square the fraction

Answer 2

36/25 or 1 11/25

Explanation:

(5/6)^-2

A negative exponent tells us to flip the fraction. It only eliminates the negative part of the exponent.

(6/5) ^2

We can split it apart (a/b)^x = a^x/b^x

6^2/5^2

36/25

1 11/25