Final answer:
The fraction 34/9 is already an improper fraction, as its numerator is greater than its denominator. The general rule for multiplying powers with the same base is to add the exponents, demonstrated by 3²·35 equals 3⁷.
Step-by-step explanation:
The fraction 34/9 is already an improper fraction because the numerator (34) is larger than the denominator (9).
In mathematics, an improper fraction is defined as a fraction where the numerator is greater than or equal to the denominator.
To further clarify, let's look at the rule related to exponentiation.
The statement 3²·35 represents multiplying the base number (3) by itself a certain number of times.
The general rule for multiplying powers with the same base is xˣx⁹ = x(p+q), which means you add the exponents when the base is the same.
So, in the case of 3²·35, this would equal 3⁷, because 2+5=7.