Answer:
256
Step-by-step explanation:
So, there are a few different ways to solve this.
Firstly, you need to find the values of these numbers.
4^4 = 4x4x4x4 = 4x4 = 16x4 = 64 x 4 = 256.
4^7 = 4x4x4x4x4x4x4 = 4x4 = 16x4 = 64x4 = 256x4= 1,024x4=4,096x4 = 16,384.
Now, divide 16,384 by 256:
16,384/256
=
64
This is your answer.
Now, WHY do we have to use such a slow painful way of doing this? There MUST be a better way!
Well, there is.
Remember two things.
Dividing exponents is actually subtracting 1 exponent from the other.
Multiplying exponenets is actually adding 1 exponent to another.
Adding and subtracting is still adding and subtracting like normal.
This problem calls for division.
So, all we need to do is subtract 4^7 by 4^4:
4^7-4
=
4^3
What does 4^3 equal?
64!
This is far easier and quiocker, and won't burn a hole through your brain!
Hope this helps! :)
