Tained by sloving 7^x+1/7^x=49*1/49 also satisfy 2^x-2^2=2^-2-2^-x​

What is the measure of angle tvu shown in the diagram below

Determine the difference: 3.2 × 1010 – 1.1 × 1010. write your answer in scientific notation.

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?