4. When you take a picture, the camera shutter controls how much light reaches the film or the digital image sensor. The shutter speed is the amount of time, in seconds, that the shutter stays open. Write each shutter speed as a power with a negative exponent. a. 1/4 seconds b. 1/8 seconds c. 1/125 seconds d. 1/1000 seconds​

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?