You are traveling on a plane trip from Washington, D.C. to Cleveland, Ohio and the planes uses 1,260 MJ/passenger trip. If you make the trip by car it would take 19 gallons/passenger trip. There are 143 MJ in a gallon of kerosene, and type of jet fuel. How many gallons of kerosene does it take to make the trip by plane? How does this compare to the amount of gasoline used in the car. PLEASE HELP

8) If the base of the exponents match on both sides of the equal sign, then the exponents can be set equal to each other.

So since (5ˣ)⁵ = 5³⁵, the base 5 is on both sides.

5(x) = 35

5x = 35

Divide by 5 on both sides to isolate the variable.

x = 7

9) Without evaluating (much) you can tell by common sense that (2⁵)(10⁵) is bigger.

The exponents are the same so you can multiply the bases. 4x5 = 20. 2 x 10 = 20. Now, just look at the exponents to see which is bigger. 5 > 4. Therefore, (2⁵)(10⁵) is bigger.

10) Nicholas's second statement is false. (2⁶)(2⁶) is the same as (2⁶)². In this case since they have the same base, you would multiply the exponents. 6 x 2 = 12. Therefore, (2⁶)(2⁶) = 2¹²