How would you solve this?

Question

anonymous · Answer

?

anonymous · Answer

(2^3)^4(2)^4

anonymous · Answer

$$(2^{3})^{4} (2)^{4}$$ Heres a better pic

anonymous · Answer

$$(2^{3\cdot4})(2)^4=(2^{12})(2)^4=2^{12+4}$$

anonymous · Answer

Would it be 2^16 or do you leave it like that?

anonymous · Answer

ye it's 2^16

anonymous · Answer

@HomeZone You add exponents not multiply them

anonymous · Answer

PEMDAS

anonymous · Answer

So first you add the 3 to the first 4?

anonymous · Answer

$$(8)^4(2)^4$$
$$(4096)(16)$$

anonymous · Answer

$$(a^m)^n=a^{m\cdot n}$$

anonymous · Answer

and $$(a^m)(a^n)=a^{m+n}$$

anonymous · Answer

Here are my answers if it helps. 
A. 2^24
B. 2^9
C. 2^10
D. 2^13

anonymous · Answer

I know how to do regular exponents but this question kinda threw me off a little.

anonymous · Answer

None of those answers are correct I just typed the entire function into my calculator and it came out to 65,536

anonymous · Answer

...ok. Well is there a different way to solve this kind of exponent?

anonymous · Answer

Ye thats what im saying $$2^16=65536$$

anonymous · Answer

Typeo*
$$2^{16}=65536$$

anonymous · Answer

The question says: Write as a power of 2

anonymous · Answer

But that is not an answer... and it isn't a choice

anonymous · Answer

wellll im just gonna call my regular instructor. This is for a practice test for a test im taking so im sure she could help me.

anonymous · Answer

None of the aswers you're given are correct, the only way yo write 65536 to the power of 2 is 2^16

anonymous · Answer

Answers*

anonymous · Answer

ok well im gonna call and if u want I can let you guys kno what she says and how to solve it.

anonymous · Answer

Alright first things first, there was a typo and the question says: Write as the power of 2: $$(2^{3})^{2}(2)^{4}$$ so there is no first 4. Sorry about that. Now she solved it like this. 

First you multiply the 3 by the exp 2 to get 6 = 2^6
Then you say that there is an invisible 1 by the second 2. 1 x 4 is 4 leaving us with = 2^4. 
So now we have 2^6 2^4 and we solve and finish by using addition on the exponents. 
This gives the answer 2^10. :)

anonymous · Answer

@HomeZone @AEYES13

anonymous · Answer

Correct :)
$$(2^{3⋅2})(2)^4=(2^6)(2)^4=2^{10}$$
A typeo in math can do a lot for the end result :)