when simplified to a^n what will the value of n be?
Basically, finding the n-th root of a (positive) number is the opposite of raising the number to the power n, so they effectively cancel each other out. These 4 expressions have the same value: `root(n)(a^n)=(root(n)a)^n``=root(n)((a^n))=a`.The 2nd item in the equality above means: take the n-th root first, then raise the result to the power n . The 3rd item means: raise a to the power n then find the n-th root of the result. Both steps lead back to the a that we started with.For the simple case where `n = 2`, the following 4 expressions all have the same value: `sqrt(a^2)=(sqrt(a))^2``=sqrt((a^2))=a`.aise a to the power n then find the n-th root of the result. Both steps lead back to the a that we started with. For the simple case where `n = 2`, the following 4 expressions all have the same value: `sqrt(a^2)=(sqrt(a))^2``=sqrt((a^2))=a`.