Final answer:
To evaluate the expression 30³ + 20³ - 50³, you need to cube each number, substitute the values back into the expression, and perform the addition and subtraction. The correct answer is -90000.
Step-by-step explanation:
To evaluate the expression 30³ + 20³ - 50³, you need to follow the order of operations, which is parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right). Start by cubing each number: 30³ = 30 x 30 x 30 = 27,000, 20³ = 20 x 20 x 20 = 8,000, and 50³ = 50 x 50 x 50 = 125,000. Next, substitute these values back into the expression: 27,000 + 8,000 - 125,000. Finally, perform the addition and subtraction: 27,000 + 8,000 = 35,000, and then subtract 125,000: 35,000 - 125,000 = -90,000. Therefore, the correct answer is b. -90000.
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