Question

Which of the following is equal to the expression (5^-6)^2

Answer 1

remember

`(a^b)^c=a^(bc)` and

`x^(-m)= (1)/(x^m)`

so


`(5^(-6))^2=5^(-6*2)=5^(-12)= (1)/(5^(12))`

so either step of that simplification will work

Answer 2

5^-6=1/5^6
(1/5^6)^2=1/15625×1/15625=1/244140625 or 1/5^12 is your final answer. Hope it help!