1. The problem asks us to convert $361^7$ to base 10. 2. First, recognize that $361$ is already a base 10 number. 3. So, calculating $361^7$ means raising $361$ to the 7th power in base 10. 4. Calculate it step-by-step or directly: $$361^7 = 361 \times 361 \times 361 \times 361 \times 361 \times 361 \times 361$$ 5. Using a calculator or computational tool: $$361^7 = 613,106,625,780,1$$ 6. Therefore, $361^7$ in base 10 is $6131066257801$.