A state highway that is 4^4 miles long runs parallel to a smaller country road that is 4^2 miles long. How many times longer than the country road is the state highway? Express the answer as a number with a positive exponent.

Answer 1

The state highway is (4^4)/(4^2) = 4^(4-2) = 4^2 = 16 times longer than the country road.

Therefore, the state highway is 16 times longer than the country road.