SOLUTION: Find the largest power of 6 which divides 10^33 6^23 9^24

Algebra ->  Test -> SOLUTION: Find the largest power of 6 which divides 10^33 6^23 9^24      Log On


   

Question 473668: Find the largest power of 6 which divides 10^33 6^23 9^24
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Find the largest power of 6 which divides 10^33 6^23 9^24
--------------
10%5E33+%2A+6%5E23+%2A+9%5E24
= %282%5E33%2A5%5E33%29%2A6%5E23%2A3%5E48
= %282%5E33%2A3%5E33%29%2A6%5E23%2A3%5E15
= 6%5E33%2A6%5E23%2A3%5E15
= 6%5E56%2A3%5E15
--> 56