To find the combined capacity of the two pools, we need to add their capacities together:
- The capacity of the olympic size pool: \( 8.12 \times 10^5 \) gallons
- The capacity of the smaller pool: \( 5.27 \times 10^5 \) gallons
Now, we add these two numbers together:
\[ 8.12 \times 10^5 + 5.27 \times 10^5 = (8.12 + 5.27) \times 10^5 \]
Calculating \( 8.12 + 5.27 \):
\[ 8.12 + 5.27 = 13.39 \]
Now, we combine this with the common power of ten:
\[ 13.39 \times 10^5 \]
Now we check the format of the answer choices. We can express \( 13.39 \times 10^5 \) in scientific notation by rewriting it:
\[ 13.39 \times 10^5 = 1.339 \times 10^6 \]
Thus, the combined capacity of the pools is:
\[ 1.339 \times 10^6 \text{ gallons} \]
So, the correct answer is:
B 1.339 x 10^(6) gallons