10^(-10log3)

Question

How to solve this???

Answer 1

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

Answer 2

do u know how I could find this in a way that creates a fractional form?

Answer 3

As Reiny noted,
3^-10 = 1/59049