Final answer:
To evaluate the expression 5^3−(64÷8)+10^2, solve the division, and exponentiation, and perform the subtraction and addition to get the result 217.
Step-by-step explanation:
To evaluate the expression 5^3−(64÷8)+10^2, we need to follow the order of operations (PEMDAS/BODMAS). First, solve the division: 64 ÷ 8 = 8. Then, evaluate the exponentiation: 5^3 = 5 × 5 × 5 = 125 and 10^2 = 10 × 10 = 100. Finally, perform the subtraction and addition: 125 - 8 + 100 = 217.