Question

Compare and contrast, in complete sentences, the difference between the products of a2a4 and (a2)4. Provide the expanded form and product of each.

Answer 1

a^2+a^2+a^2+a^2 is that the expanded form

Answer 2

i just need help comparing and contrasting

Answer 3

\(a^2a^4\) gives \(a^{2+4} \implies a^6\)

\((a^2)^4\) gives \(a^{2 \times 4} \implies = a^8\)

Answer 4

but how can i compare and contrast them in complete sentences can you help me

Answer 5

i am not sure what they mean by complete sentence but waterineyes is right

Answer 6

In case of multiplication with the same bases. their exponents add up..

\[\large a^m.a^n = a^{m+n}\]

Answer 7

so i can say that in this case of multiplication with the same bases their exponents add up ?

Answer 8

But if the bases have power of the power then the exponents get multiply:

\[\large (a^m)^n = a^{m \times n}\]

Answer 9

Yes you are right rebecca..

Answer 10

Thanks!

Answer 11

Welcome dear...

Answer 12

:)