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Product Property and Exponential Transformations

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Which statement best describes how the product property of exponents relates horizontal translations and vertical dilations of exponential functions?

A

The product property only affects vertical dilations by multiplying the entire function by a constant, without impacting horizontal translations.

B

The product property exclusively deals with vertical dilations, having no impact on horizontal translations of exponential functions.

C

The product property allows for horizontal translations by adding constants inside the exponent, and vertical dilations by multiplying the base by a constant.

D

Horizontal translations are achieved through the product property by multiplying bases, while vertical dilations require adding constants to the exponent.

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