SOLUTION: Please help me verify the solution to this equation: 6^5 divided by 6^4. I believe it is 6^1 or 6 because you subtract the powers when dividing, but I would like to make sure. Than

Algebra ->  Exponents -> SOLUTION: Please help me verify the solution to this equation: 6^5 divided by 6^4. I believe it is 6^1 or 6 because you subtract the powers when dividing, but I would like to make sure. Than      Log On


   

Question 957768: Please help me verify the solution to this equation: 6^5 divided by 6^4. I believe it is 6^1 or 6 because you subtract the powers when dividing, but I would like to make sure. Thank you :)
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
b^a / b^c = b^(a-c)

6^5 / 6^4 = 6^(5-4) = 6.

you are correct.

6^5 / 6^4 can also be shown as 6*6*6*6*6 / 6*6*6*6

this is equivalent to (6/6) * (6/6) * (6/6) * (6/6) * 6 which is equal to 6, and 6 is the same as 6^1.