# Positive and negative exponents

7 videos

2 skills

It's normally a bad idea to hang around with negative people or do negative things, but we think it's OK to associate with negative exponents.
Common Core Standards: 8.EE.A.1

### Introduction to exponents

VIDEO
3:03 minutes

Taking an exponent is basically the act of repeated multiplication. You know how to multiply, right? If so, understanding exponents is completely within your grasp!

### Raising a number to the 0 and 1st power

VIDEO
5:07 minutes

The progression of powers from zero to any non-zero number follows a pattern and can be logically explained. After watching this, it will make sense why any non-zero number to the zero power equals one.

### Powers of 1 and 0

VIDEO
6:08 minutes

Let's see what happens with bases to the zero power, plus we'll reinforce the patterns of applying exponents to postive and negative bases.

### Powers of fractions

VIDEO
1:47 minutes

Just like whole numbers with exponents, fractions are repeatedly multiplied. If you know how to multiply factions, you're over half way there.

### Powers of zero

VIDEO
4:15 minutes

We know that any non-zero number to the zero power equals one. We also know that zero to any non-zero exponent equals one. What happens when you have zero to the zero power?

### Positive and zero exponents with positive and negative bases

PRACTICE PROBLEMS

Integers raised to positive integers. Non-zero integers raised to the zero power. 0, -1, and 1 raised to very large positive integers.

### Negative exponents

VIDEO
7:14 minutes

### Positive and negative exponents

PRACTICE PROBLEMS

Fractional and integer bases raised to positive and negative integer exponents.