Consider the numerical expression: 3^4 If the given expression is raised to the power of 12, which expression is NOT equivalent?
A)3^16
B)3^48
C)(3^12)^4
D)(3^6)^8

Determine the volume of a cylinder bucket if the diameter is 8.5 in. and the height is 11.5 in.

Ineed i been stuck on this question since yesterday

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- 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. 3- 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 part b?