# Intro toÂ exponents

CCSS Math: 6.EE.A.1

Learn how to use exponents and bases. For example, writing 4 x 4 x 4 x 4 x 4 with an exponent.

Here's what an exponent and a base look like:

The small number written above and to the right of a number is called an $\goldD{\text{exponent}}$. The number underneath the exponent is called the $\blueD{\text{base}}$. In this example, the base is $\blueD4$, and the exponent is $\goldD3$.

Here's an example where the base is $\blueD7$, and the exponent is $\goldD5$:

An exponent tells us to multiply the base by itself that number of times. In our example, $\blueD4^\goldD3$ tells us to multiply the base of $\blueD4$ by itself $\goldD3$ times:

Once we write out the multiplication problem, we can easily evaluate the expression. Let's do this for the example we've been working with:

The main reason we use exponents is because it's a shorter way to write out big numbers. For example, let's say we want to express the following:

That's really long to write. My hands hurt just from typing it! Instead we can see that $\blueD2$ is multiplied by itself $\goldD6$ times. This means we can write the same thing with $\blueD2$ as the base and $\goldD6$ as the exponent:

Cool, lets make sure we understand exponents by trying some practice problems.