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What is the units digit of 3 to the 2004th power times 5 to the 2004th power?

 Jul 8, 2022
 #1
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[3^2004 * 5^2004] mod 10^10 ==5087890625 - these are the last 10 digits.

 Jul 8, 2022
 #2
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Note that \(3^{2004} \times 5^{2004} = 15^{2004}\)

 

Because the base ends in a 5, the ones digit will always be \(\color{brown}\boxed{5}\)

 Jul 9, 2022

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