math
posted by Nathaniel on .
10^(10log3)
How to solve this???

one of the log properties is .
a^(log_{a} k )
= k
we have that case, if we change
10^(10log3)
to
10^(log 3^10)
we get 3^10 = 1/59049 > exact answer
or .000016935
( if I use my calculator
10^(4.771212547)
= .000016935 
do u know how I could find this in a way that creates a fractional form?

As Reiny noted,
3^10 = 1/59049