Jim’s work evaluating 2(3/5)^3 is shown below.

2(3/5)^3 = 2(3^3/5)
=2(3*3*3/5)
=2(27/5)
= 54/5

which statement best describe jim’s first error?

a: he did not multiply 3/5 by 2 before applying the power.
b: he did not apply the power to the denominator of 3/5
c: he did not evaluate 3^3 correctly.
d: he did not multiply 27/5 by 2 correctly.

1- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis.2- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in the first question?