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The answer is the second option, which is: Marcus is correct. If any integer is raised to any integer exponent, the base is multiplied times the exponent. The product of two integers is always a rational number.

The explanation for this answer is shown below:

By definition, the set of integers contains the positive numbers, negative numbers and the zero. The rational numbers are those numbers that can be written as a fraction.

The number [tex] 6 [/tex] is an integer, but also can be written as [tex] \frac{6}{1} [/tex]. Then, it is a rational number too.

If it is raised to the integer exponent [tex] 2 [/tex], it means that you must multiplied the number [tex] 6 [/tex] twice. The result will be an integer, which you can write it in the form of a fraction with [tex] 1 [/tex] as its denominator:

[tex] 6^{2}=(6)(6)=36=\frac{36}{1}
[/tex]

Answer: The answer is actually the first option. " Marcus is correct. If any integer exponent, the base is multiplied or divided repeatedly. The product or quotient of integers is always a rational number. "


Step-by-step explanation:


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