There are (2^4)^2 ⋅ 2^0 books in a cupboard. what is the total number of books in the cupboard? a. 2^2 b. 2^6 c. 2^8 d. 2^16

Hey there!

First of all, we can get rid of that . Anyting to the power of 0 is equal to one.

Now, we can apply our rule of a power to a power which states that:



Therefore, since we have two to the fourth raised to the second power, we just multiply the powers to get , or C.

Hope this helps!

4should be the last one n=4