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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

Negative exponent intuition

VIDEO 4:38 minutes
Intuition on why a^-b = 1/(a^b) (and why a^0 =1)

Positive and negative exponents

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