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Which of the following represents in exponential form? 6 x 7ˣ or 7 x 6ˣ?

A) 6 x 7ˣ
B) 7 x 6ˣ
C) Both are equivalent
D) Neither

1 Answer

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Final answer:

Neither 6 x 7ˣ nor 7 x 6ˣ is fully in exponential form because neither expression has an exponent applied to both numbers; hence, the correct answer is D) Neither.

Step-by-step explanation:

The question asks which representation is in exponential form, 6 x 7ˣ or 7 x 6ˣ. In exponential form, we typically have a base raised to a certain exponent. For example, in 6 x 7ˣ, only the number 7 is raised to the power of 'x', with 6 being a coefficient, while in 7 x 6ˣ, the number 6 is raised to the power of 'x' with 7 as a coefficient.

Neither expression contains an exponent applied to both the 6 and 7, so neither one fully represents an exponential form where a single base is raised to a power. Therefore, option D) Neither is the correct answer.

To determine which of the following represents the exponential form, we need to understand the properties of exponents. In the expression 6 x 7ˣ, the base is 7 and the exponent is x. In the expression 7 x 6ˣ, the base is 6 and the exponent is x.

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