Algebra I Recipe: Multiplication Properties of Exponents, Negative, and Zero Exponents

By G Redden

The Properties

Multiplying like bases.

Add the exponents.

aⁿ • a^m = a^n+m

Power of a power.

Multiply the exponents.

(aⁿ)^m = a^nm

Power of a product.

Raise each part of the product to the power.

(ab)ⁿ = aⁿ bⁿ

Negative exponent property.

To make the negative exponent positive, move the base and its exponent to the opposite location in the fraction.

and

Zero exponent property.

Any base raised to the zero power equals one.

aº = 1

Practice Problems