Answer: 90.35
Step-by-step explanation: To solve for T_s in the given expression, we first need to isolate T_s by manipulating the equation:
1. Start with the given equation:
1.766 * 10^15 = [4206T_s - 378540]^3
2. Take the cube root of both sides to eliminate the exponent:
∛(1.766 * 10^15) = ∛([4206T_s - 378540]^3)
3. Simplify the left side:
∛(1.766 * 10^15) = 1183.030
4. Now we have:
1183.030 = 4206T_s - 378540
5. Add 378540 to both sides:
1183.030 + 378540 = 4206T_s
6. Simplify the left side:
379723.03 = 4206T_s
7. Divide by 4206 to solve for T_s:
T_s = 379723.03 / 4206
T_s ≈ 90.35
Therefore, T_s ≈ 90.35 in the given equation.
