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Power of a Product Property
See It in Action
Two examples of the idea done right—and one common look-alike that is not right.
EXAMPLE
EXAMPLE
NON-EXAMPLE
Definition
The Power of a Product Property is a rule in exponents that states:
In other words, when you raise a product (the multiplication of two numbers or expressions) to an exponent, you can apply the exponent to each factor individually and then multiply the results.
Example:
(2 • 3)^2 = 2^2 • 3^2 = 4 • 9 = 36
This property works for any numbers or expressions, including variables and more complex terms. For example:
(x • y)^3 = x^3 • y^3
This rule is particularly helpful when simplifying expressions involving exponents.
Video
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