calculating decimal power of 10

Question

I need some help with this calculation :

10**7342345.54334 % m

I am calculating it in python but that says Result too large

pow(10,7342345.54334,m) 

Can not be used because all parameters must be integers. If I convert this decimal value to integer then the answer changes.

Answer 1

10^{7342345.54334} is equal to 10^7342345 times 10^0.54334. Now can you do it?

Answer 2

Hint: Make use of the equivalence of the following expressions

and

For further details, see Modular exponentiation in Wikipedia.