When you have a very large number such as this one, you can always calculate it, in scientific notation, on almost any calculator that has a "log" to base 10 key on it, as follows:
524^694 =694 x Log(524) =694 x 2.7193312869837266512375320601467 =1,887.2159131667062959588472497418. The whole integer part, 1,887, which is called the characteristic, is the power of 10 or the exponent, and the frational part, which is called the mantissa, is raised to the 10th power:10^.2159131667........etc. =1.644042978675710996... x 10^1,887.