Question

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

Answer 1

Hey there!

First of all, we can get rid of that
`2 ^(0)`. 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:


`(x^(a))^y = x^(ay)`

Therefore, since we have two to the fourth raised to the second power, we just multiply the powers to get
`2^8`, or C.

Hope this helps!