Consider a rational (i. e. "fractional") does the denominator of the fractional exponent represent in radical form? what does the numerator of the fractional exponent represent?
do the normal rules of exponents (i. e. the product, quotient, and power rules) apply to fractional exponents? what are some of the unique challenges presented in using these rules with fractional exponents? give an example to make your point.

Ben wants to play a carnival game that costs $2. in his pocket he has 5 red tickets worth 35 cents each, and 15 blue tickets worth 10 cents each. which of the following systems of inequalities correctly represents the constraints on the variables in this problem? let represent the red tickets and b represent the blue tickets.

The host of a game show is holding a bag with chips to see what prizes the contestants will play for. five (5) of the chips say “new car” ten (10) of the chips say “new tv” three (3) of the chips say “trip to france” contestant named “patty” reaches into the bag. a. what is the probability of choosing a tv chip? b. what is the probability of choosing a car chip next without replacing the 1st chip? c. are these dependent or independent events?

The deepest part of the swimming pool is 12 feet deep. the shallowest part of the pool is 3 feet deep. what is the ratio of the deeply of the deepest part of the pool to depth of the shallowest part of a pool?