CCSS Math: 6.EE.A.1
Review the basics of exponents and try some practice problems. 

Exponents and bases

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 exponent\goldD{\text{exponent}}. The number underneath the exponent is called the base\blueD{\text{base}}. In this example, the base is 4\blueD4, and the exponent is 3\goldD3.
Want to learn more about exponents? Check out this video.

Evaluating exponents

An exponent tells us to multiply the base by itself that number of times.
In our example, 43\blueD4^\goldD3 tells us to multiply the base of 4\blueD4 by itself 3\goldD3 times:
43=4×4×443=64\begin{aligned} \blueD4^\goldD3 &=\blueD4 \times \blueD4 \times \blueD4 \\\\ \phantom{\blueD4^\goldD3}&= 64 \end{aligned}

What about when the exponent is a zero?

Any base with an exponent of zero is equal to 11.
For example, 70=17^0=1.
Check out this video to see why.


Problem 1
  • Your answer should be
  • an integer, like 66
  • a simplified proper fraction, like 3/53/5
  • a simplified improper fraction, like 7/47/4
  • a mixed number, like 1 3/41\ 3/4
  • an exact decimal, like 0.750.75
  • a multiple of pi, like 12 pi12\ \text{pi} or 2/3 pi2/3\ \text{pi}

Want to try more problems like this? Check out this exercise.