Question

THE QUESTION IS BELOW. i dont really get it....

Answer 1

since \[a ^{2}a ^{4} = a ^{6}\]
and
\[(a ^{2})^{4} = a ^{8}\]
and there is a difference in both...
compare and contrast this difference...

Answer 2

first let's recall some definitions about exponents.
\[x^{n}x^{m}=x^{n+m}\]
\[(x^{n})^{m}=x^{nm}\]

now we can describe the products of a^2a^4 and (a^2)^4.

a^2a^4=a^(2+4)=a^6
(a^2)^4=a^(2*4)=a^8

therefore a^2a^4 is not the same as (a^2)^4

Answer 3

THANK YOU SOOOOOOOOOOOOOOO SOOOOO MUCH!!!!!!!