20 of 100: So Many Threes
Number Theory
Level
1
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 \(\underbrace{9999 \cdots 9}_{\text{10000 9's}}\ \times 9 \,?\)
by
Jason Dyer