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Simplifying and Using the Product to a Power Property
Apply the Product to a Power Property to simplify two expressions in which a product of a number and one or more variables is raised to a power.
ⓐ : The base is the product , which has two factors: and . Raise each factor to the second power using :
Simplify: (an even exponent on a negative base produces a positive result), so the answer is .
ⓑ : The base is the product , which has three factors: , , and . Raise each factor to the third power:
Simplify: , so the answer is .
Both parts demonstrate the same procedure: identify every factor inside the parentheses, apply the exponent to each one individually, and then evaluate any numerical powers.
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Ch.6 Polynomials - Elementary Algebra @ OpenStax
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