Answer :
Final answer:
The expression 125^(5/3) is solved by cubing 125 and then taking the fifth root of the result. By doing so, we find that 125^(5/3) equals 25; not the values given by Jon and Jamie. Therefore, the correct answer is D) Neither Jon nor Jamie is correct.
Explanation:
The question asks which statement is correct about the expression 125^(5/3). To begin, let's look at what the rational exponent property is. Rational Exponent Property states that if you have a fraction as your exponent, such as (m/n), it can be rewritten in radical form as the nth root of a^m.
Applying this to our expression, the 5/3 rational exponent means that 125 is cubed and then the fifth root is taken. When you cube 125, you get 125^3 = 1,953,125. After that, you have to find the 5th root of 1,953,125 which is 25. Do note that the 5th root of a number is the value that, when multiplied by itself five times, gives the original number.
So, 125^(5/3) equals 25, rather than the values given by Jon and Jamie. Therefore, the correct answer is D) Neither Jon nor Jamie is correct.
Learn more about expression here:
https://brainly.com/question/34132400
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