3.6k views
2 votes
Can a raised integer exponent result in a rational number

Can a raised integer exponent result in a rational number-example-1
User Corleone
by
6.5k points

2 Answers

4 votes

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. "


Explanation:


User Paul Baltescu
by
6.6k points
0 votes

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
6 is an integer, but also can be written as
(6)/(1). Then, it is a rational number too.

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


image

User Denisafonin
by
5.9k points