20 of 100: So Many Threes

Number Theory Level 1

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

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 $\underbrace{9999 \cdots 9}_{\text{10000 9's}}\ \times 9 \,?$

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

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20 of 100: So Many Threes

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, interactive explorations.

Used and loved by over 7 million people

Learn from a vibrant community of students and enthusiasts, including olympiad champions, researchers, and professionals.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.