Problem of the Week

Problem C

More Power to You

In mathematics we like to write expressions concisely. For example, we will often write the expression $$5\times 5\times 5\times 5$$ as $$5^4$$. The lower number $$5$$ is called the base, the raised $$4$$ is called the exponent, and the whole expression $$5^4$$ is called a power.
So $$5^{3}$$ means $$5\times 5\times 5$$ and is equal to 125.
What are the last three digits in the integer equal to $$5^{2020}$$?

Themes: Algebra, Number Sense