power of a product property
(ab)^x = a^x*b^x
The power of a product property is a rule in mathematics that governs the way exponents work when multiplying numbers or variables that have powers. Specifically, the power of a product property states that when multiplying two or more quantities that have powers, we can combine the powers by adding them together.
In other words, if we have two variables, X and Y, each raised to a power n and m, respectively, then their product X^n * Y^m can be expressed as X^(n+m), or Y^(n+m), depending on which variable we choose to apply the exponent rule to first.
For example, (2^3) * (3^2) can be simplified using the power of a product property to (2*3)^3 * 3^2, which is equal to 6^3 * 3^2, or 216 * 9, or 1944.
This property is particularly useful when dealing with mathematical expressions in which multiple variables or quantities are multiplied together. By using the power of a product property, we can simplify these expressions and make them easier to work with.
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