100 Day Summer Challenge

100 problems in 100 days. #100problems

Day 20

20 of 100: So Many Threes

What is the last digit of: 310000?\huge \color{#3D99F6}{3}^{\color{#D61F06}{10000}}\color{#333333}?

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 9999910000 9’s ×9?\underbrace{9999 \cdots 9}_{\text{10000 9's}}\ \times 9 \,?


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