SOLUTION: how many digits are there in 2 to the power 17* 3 to the power 2 * 5 to the power 14 * 7 ?

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Question 973205: how many digits are there in 2 to the power 17* 3 to the power 2 * 5 to the power 14 * 7 ?
Found 2 solutions by MathLover1, Alan3354:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

if you have this:
2%5E17%2A+3%5E2+%2A+5%5E14+%2A+7+=50400000000000000=5.04+%2A+10%5E16
then, there is 17 digits

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
how many digits are there in 2 to the power 17* 3 to the power 2 * 5 to the power 14 * 7 ?
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2^17*5^14 = 2^3*(2*5)^14 = 8*10^14
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--> 8e14*9*7
= 504e14
= 5.04e16 --> 17 digits