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

Question

anonymous · Answer

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

anonymous · Answer

i just need help comparing and contrasting

anonymous · Answer

$a^2a^4$ gives $a^{2+4} \implies a^6$

$(a^2)^4$ gives $a^{2 \times 4} \implies = a^8$

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

In case of multiplication with the same bases. their exponents add up..

$$\large a^m.a^n = a^{m+n}$$

anonymous · Answer

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

anonymous · Answer

But if the bases have power of the power then the exponents get multiply:

$$\large (a^m)^n = a^{m \times n}$$

anonymous · Answer

Yes you are right rebecca..

anonymous · Answer

Thanks!

anonymous · Answer

Welcome dear...

anonymous · Answer

:)