What is the term for a product of equal factors, such as 4 × 4 × 4?

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The term for a product of equal factors, like 4 × 4 × 4, is referred to as a power. In this instance, the number 4 is being multiplied by itself three times, which can be expressed as 4 raised to the third power (4³).

In mathematical terms, a power consists of a base and an exponent; the base is the number being multiplied (in this case, 4), while the exponent indicates how many times the base is used as a factor (in this case, 3). Therefore, the expression 4 × 4 × 4 is equivalent to 4³, signifying that the multiplication involves equal factors.

The other terms listed in the options refer to different mathematical concepts altogether. A factor is one of the numbers that are multiplied together to get a product, the base pertains specifically to the number in a power, and a coefficient is a number that multiplies a variable in algebraic expressions. Each of these has distinct meanings, and recognizing the correct terminology is essential for understanding and accurate communication in mathematics.

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