100 Day Summer Challenge

100 problems in 100 days. #100problems

Day 20

20 of 100: So Many Threes

What is the last digit of: \[\huge \color{blue}{3}^{\color{red}{10000}}\color{black}?\]

Find a pattern! There are a lot of patterns like this that you can find when calculating numerical powers and products, why is that?

Bonus challenge: How many 9's appear in the final product of \(\underbrace{9999 \cdots 9}_{\text{10000 9's}}\ \times 9 \,?\)

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