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How many digits are there in the product \(2^{23}\cdot 5^{24}\cdot 7^3?\)

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Re: How many digits are there in the product \(2^{23}\cdot 5^{24}\cdot 7^3?\)

by regor60 » Sun Aug 15, 2021 9:55 am
Group 5^23 with 2^ 23 which is then 10^23.

10^23 is 1 followed by 23 zeros.

The remaining 5 then makes this 5 and 23 zeros.

Multiplied by 7 is 35 and 23 zeros.

Multiplied by 49 is some number greater than 1000 but less than 10000, not important what it is, but has 4 digits.

4 digits plus 23 zeros is 27
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