Question

How many digits does the number
\[ 2^{462} 5^{460}\]
have?

Answer 1

not logical

Answer 2

\[\LARGE 2^{462}\cdot 5^{460}=2^{2}\cdot 2^{460}\cdot 5^{460}=4\cdot (5\cdot 2)^{460}=\]

\[\LARGE =4\cdot 10^{460} \quad ??\]

Answer 3

\[2^{462}5^{460}=2^{460}2^{2}5^{460}\]\[=2^{2}\left( 2*5 \right)^{460}=4\left( 10 \right)^{460}\]

Answer 4

10^460*2^2

Answer 5

so 461 digits?

Answer 6

still 10^460 have a very big answer , her question is how many digiits would be in this question ,

Answer 7

4 and "460" zeros so @dpaInc is right !

Answer 8

over an infinitesimal length of digits without bypassing the speed of light ? {trollnser}

Answer 9

461 is the right answer.

Answer 10

@dalnc showed the analytic way, if you still need a confirmation : http://ideone.com/pwp7D