Algebra’s Laws of Logarithms
Using Exponents to Simplify Equations
Working with Negative Exponents

How to Divide Exponents

You can divide exponential expressions, leaving the answers as exponential expressions, as long as the bases are the same. To divide exponents (or powers) with the same base, subtract the exponents. Division is the opposite of multiplication, so it makes sense that because you add exponents when multiplying numbers with the same base, you subtract the exponents when dividing numbers with the same base.

For example,


Pretty easy, huh? Now wrap your brain around this:


Any number to the power of zero equals 1, as long as the base number is not 0.

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