# math

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10^(-10log3)

How to solve this???

• math -

one of the log properties is .

a^(loga 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

• math -

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

• math -

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

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