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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 \(5^{2020}\)?

A chalkboard displaying 5 times itself many times.

Themes: Algebra, Number Sense