SOLUTION: How do I solve a problem like this: 9a*9a*9a*9a*9a*9a?

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Question 51825: How do I solve a problem like this: 9a*9a*9a*9a*9a*9a?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
9a%2A9a%2A9a%2A9a%2A9a%2A9a+=+%289%2A9%2A9%2A9%2A9%2A9%29%2A%28a%2Aa%2Aa%2Aa%2Aa%2Aa%29
9%2A9%2A9%2A9%2A9%2A9+=+9%5E6
this can be solved by direct calculation or using logs
log%2810%2C9%5E6%29+=+6%2Alog%2810%2C9%29
6%2Alog%2810%2C9%29+=+6%2A.9542425094
6%2A.9542425094+=+5.725455057
Now find the antilog of this number
10%5E5.725455057+=+531441
I get this same result by direct calculation
It's also 81*81*81
a%2Aa%2Aa%2Aa%2Aa%2Aa+=+a%5E6
so, the answer is
531441%2Aa%5E6