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Exponents with negative bases

4 videos
2 skills
If you think about it, exponents is simply repeated multiplication. Knowing that, we can apply what we already know about multiplying negative numbers. Exponents with negative and zero bases are treated differently, as well as power of zero exponents. Order of operations will help us make sense of those circumstances.

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.

Exponents with negative bases

VIDEO 4:30 minutes
Apply what we know about negative numbers to determine how negative bases with exponents are affected, and what patterns develop. We'll also learn how order of operations affect the pattern.

Whole number exponents with integer bases

PRACTICE PROBLEMS
Multiplying negative numbers to evaluate exponential expressions with integer bases. Watch out for mischievous negative signs that aren't really part of the base!

Powers of 1 and 0

VIDEO 6:08 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?

Signs of products and quotients

PRACTICE PROBLEMS
Find the sign of complicated multiplication and division expressions.

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 positive exponent equals one. What happens when you have zero to the zero power?