Check my answer if it's correct?
If (2^3)^2 = 4^p, then 3^p = ? ..

My answer is 3..
This is how I did it..
If (2^3)^2 = 4^p
2^5 = 2^2p

I figure that p = 1, since I have to multiple, and in order to get 4 is 2^2. Then I substitute p=1 to 3^p, and I got the answer 3.

Question

Check my answer if it's correct?
If (2^3)^2 = 4^p, then 3^p = ? ..

My answer is 3..
This is how I did it..
If (2^3)^2 = 4^p
2^5 = 2^2p

I figure that p = 1, since I have to multiple, and in order to get 4 is 2^2. Then I substitute p=1 to 3^p, and I got the answer 3.

anonymous · Answer

i think p=3

b2st · Answer

^ how did you get that??

anonymous · Answer

$$(2^{2})^{3}=3^{p}$$

b2st · Answer

I need step please. lol

anonymous · Answer

$$2^{2}=4 --->4^{3}=4 ^{p}----->p=3$$

anonymous · Answer

$$(a ^{b})^{c}=(a ^{c})^{b}$$

b2st · Answer

Uhhh you forgot $$(2^{3})^{2}$$

psymon · Answer

He's correct about p being 3, though :P

b2st · Answer

; A; lol i dont get it. plus you're jumping so many steps.

anonymous · Answer

u can change the place of 2 and 3 in power position

anonymous · Answer

ok,let me write it again

b2st · Answer

Can you do the steps from beginning and go each step by step?

b2st · Answer

I really need a clear understanding, because when you just jump places, I get totally lost. I don't understand what's going on, because I don't know the information about the problem. lol plus this is from a SAT book.

anonymous · Answer

$$(a ^{b})^{c} = (a ^{c})^{b}$$
now tell me,is this right?
$$(2^{3})^{2}=(2^{2})^{3}$$

b2st · Answer

Yes.

anonymous · Answer

ok,$$2^{2}=?$$

b2st · Answer

4

anonymous · Answer

good

anonymous · Answer

so we have $$4^{3}$$,this is the left term,ok?

anonymous · Answer

the left term is equal to the right term

b2st · Answer

oh never mind I see it now. Thank you! :D

anonymous · Answer

ur welcome