Question 1 part a: if (2^6)^x = 1, what is the value of x? explain your answer. (5 points) part b: if (5^0)^x = 1, what are the possible values of x? explain your answer. (5 points)

Part À: x=0 because anything to the zeroth power is one, so the only answer would be 0.
Part B: x=1 OR 0 because we know 5^0 is one, and one to the first power is just one too. One to the zeroth power is also one.

I am assuming you are asking how many miles you can travel on the taxi.

In this situation a good method would be to make an equation.

Let x represent the number of miles traveled.
The ride costs $2.50 per mile, so the cost of the total trip is equal to 2.5x + 5. (the 5 is the base 5$ cost)

Set this equation equal to 20 as you have $20 to spend.

So, we get
2.5x + 5 = 20
Subtract 5 on both sides to get:
2.5x = 15
Divide by 2.5 on both sides to find x. 
x = 6

You can travel 6 miles in the taxi.