Question

There are (2^4)^2 ⋅ 2^0 books in a cupboard. What is the total number of books in the cupboard?

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!