Final answer:
The number of added powers in the sum of powers of 3 starting from power 2 and totaling 117 is 4.Therefore, the number of added powers is 4.
Step-by-step explanation:
To find the number of added powers, we need to determine the highest power of 3 in the given sum.
Starting from power 2, we can find the powers of 3: 3^2 = 9, 3^3 = 27, 3^4 = 81, and so on.
We can see that 3^4 = 81 is the highest power of 3 that is Therefore, the number of added powers is 4.
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