Final answer:
The mixed number 9 3/2 was likely meant to be the compound expression 9 raised to the power of 3/2. By applying exponent rules, this simplifies to 3 raised to the power of 3, or 27, which is indeed an integer.
Step-by-step explanation:
The student is inquiring about how to convert a mixed number to an equivalent integer. In the given example, the number is 9 3/2, which is a mixed number. To convert this to an integer, we look at the fractional part, which is 3/2 or 1.5 when expressed as a decimal. Since the whole number part is 9, we simply add the decimal to the whole number, resulting in 9 + 1.5 = 10.5.
However, as 10.5 is not an integer, we need to acknowledge that there is a typo in the question and the student likely meant to ask about 9 3/2 as a compound expression, which signifies 9 to the power of 3/2.
Using exponent rules, this can be expressed asn9^(3/2) = (√9)³ = 3³ = 3 * 3 * 3 = 27 .