Question

01.02 MC)

Part A: If (72)x = 1, what is the value of x? Explain your answer. (5 points)

Part B: If (70)x = 1, what are the possible values of x? Explain your answer. (5 points)

Answer 1

The mass of the Eiffel Tower is about 9.16 ⋅ 106 kilograms. The mass of the Golden Gate Bridge is 8.05 ⋅ 108 kilograms. Approximately how many more kilograms is the mass of the Golden Gate Bridge than the mass of the Eiffel Tower? Show your work and write your answer in scientific notation. (10 points)

Answer 2

Part A: If (72)x = 1, the value of x must be 0. This is because any number raised to the power of 0 is equal to 1.

Part B: If (70)x = 1, there are no possible values of x that will satisfy this equation. This is because 70 cannot be raised to any power to equal 1.

Answer 3

To find the difference in mass between the Golden Gate Bridge and the Eiffel Tower, we subtract the mass of the Eiffel Tower from the mass of the Golden Gate Bridge:

(8.05 ⋅ 10^8) kg - (9.16 ⋅ 10^6) kg

To subtract these numbers, we need to have them in the same power of 10. We can rewrite 9.16 ⋅ 10^6 kg as 0.916 ⋅ 10^7 kg, as the decimal point has been moved one place to the left. Now we can subtract:

(8.05 ⋅ 10^8) kg - (0.916 ⋅ 10^7) kg

= (8.05 - 0.916) ⋅ 10^8 kg

= 7.134 ⋅ 10^8 kg

Therefore, the mass of the Golden Gate Bridge is approximately 7.134 ⋅ 10^8 kilograms more than the mass of the Eiffel Tower.