Choose the correct simplification of the expression:

the quantity a to the 3rd power over b to the 7th power all raised to the 2nd power.

a.) a to the 5th power over b to the 9th power
b.) a over b to the 14th power
c.) a to the 6th power over b to the 14th power
d.) a^6b^14

The number if marbles of different colors stored in a hat is listed below: 4 red marbles 10 green marbles 7 blue marbles. without looking in the hat, dan takes out a marble at random. he replaces the marble and then takes out another marble from the hat. what is the probability that dan takes out a blue marble in both draws?