SOLUTION: I just recently started this unit and I am so confused. They said to evaluate the following and this is their answer: 8^5 x 4^2 / 2^16 = 2^15 x 2^4 / 2^16 = 2^3 = 8

Algebra ->  Exponents -> SOLUTION: I just recently started this unit and I am so confused. They said to evaluate the following and this is their answer: 8^5 x 4^2 / 2^16 = 2^15 x 2^4 / 2^16 = 2^3 = 8       Log On


   



Question 892993: I just recently started this unit and I am so confused. They said to evaluate the following and this is their answer:
8^5 x 4^2 / 2^16
= 2^15 x 2^4 / 2^16
= 2^3
= 8
My question is how did they derive at ^15 and ^4 and ^16. ? Your help is much appreciated. Thank you.

Found 2 solutions by Alan3354, MathTherapy:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
I just recently started this unit and I am so confused. They said to evaluate the following and this is their answer:
8^5 x 4^2 / 2^16
= 2^15 x 2^4 / 2^16
= 2^3
= 8
My question is how did they derive at ^15 and ^4 and ^16. ? Your help is much appreciated. Thank you.
=================
8+=+2%5E3
4+=+2%5E2

Answer by MathTherapy(10549) About Me  (Show Source):
You can put this solution on YOUR website!

I just recently started this unit and I am so confused. They said to evaluate the following and this is their answer:
8^5 x 4^2 / 2^16
= 2^15 x 2^4 / 2^16
= 2^3
= 8
My question is how did they derive at ^15 and ^4 and ^16. ? Your help is much appreciated. Thank you.

8+=+2%5E3, so 8%5E5 = %282%5E3%29%5E5, or 2%5E%283%2A5%29, or 2%5E15
4+=+2%5E2, so 4%5E2 = %282%5E2%29%5E2, or 2%5E%282%2A2%29, or 2%5E4
2%5E16 was given.