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:
43\blueD4^\goldD3
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.
Here's an example where the base is 7\blueD7, and the exponent is 5\goldD5:
75\blueD7^\goldD5
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=4×4×4\blueD4^\goldD3 =\blueD4 \times \blueD4 \times \blueD4
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:
43=4×4×4\blueD4^\goldD3 =\blueD4 \times \blueD4 \times \blueD4
43=16×4\phantom{\blueD4^\goldD3}= 16 \times 4
43=64\phantom{\blueD4^\goldD3}= 64
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:
2×2×2×2×2×2\blueD2 \times \blueD2 \times \blueD2 \times \blueD2 \times \blueD2 \times \blueD2
That's really long to write. My hands hurt just from typing it! Instead we can see that 2\blueD2 is multiplied by itself 6\goldD6 times. This means we can write the same thing with 2\blueD2 as the base and 6\goldD6 as the exponent:
2×2×2×2×2×2=26\blueD2 \times \blueD2 \times \blueD2 \times \blueD2 \times \blueD2 \times \blueD2 = \blueD2^\goldD6
Cool, lets make sure we understand exponents by trying some practice problems.

Practice set:

Problem 1A
Write 7×7×77 \times 7 \times 7 using an exponent.

Challenge set:

Problem 2A
Complete the inequality with >,<,>, <, or ==.
252^5
525^2