Question

how do you simplify (6y)^-2

Answer 1

Since you have parenthesis around "6y", this means that the exponent, "-2", applies for both numbers. Follow this process:
1. ) Since you have a negative exponent, move 6y to the denominator. In other words, flip it. You will get 1/[(6y)^2]. Once you flip it, the exponent is no longer negative.
2.) As stated from before the exponent applies for both factors. So, you will get 1/(6^2)*(y^2).
3.) You can still simplify it to 1/)36y^2)

Hope this helps!

Answer 2

Sorry about that. For step number 3, it's 1/(36y^2). That is also your answer.