**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 \(5^{2020}\)?

**Strand:** Patterning and Algebra