Use the order of operations to simplify: 3 to the power of 2 plus 4 to the power of 2 divided by2 to the power of 2 divided by 1 to the power of 3. Show your work

Applying the order of operations, simplified step by step:

1. Perform the powers first:
3^2 + 4^2 ÷ 2^2 ÷ 1^3
= 9 + 16 ÷ 4 ÷ 1
2. Perform the division:
= 9 + 4 ÷ 1
= 9 + 4
3. Perform the addition:
= 13

Therefore, the simplified expression is 13.