Another math problem?

Question

How many digits does the number 8^18*5^37 have?

hint express the number as multiple of a power of 10.

Answer 1

quite a few...
It's 2^(3x18) x 5^37 = 2^54 x 5^37 = 10 ^37 x 2^(54-37)
= 10 ^37 x 2^17
= 10^37 x 32 x 32 x 128
so 37 plus however many 32 x 32 x 128 has

Answer 2

48 digits

the answer is 1.31072 x 10^42.

Hope this helps