Answer:
a. 46
b.70
Explanation:
a. (5 - 10)² + 21 / 3 * [6² + (-4)³ - [8 - (|-3|³ + 12)]
Simplify inside the brackets first:
(-5)² + 21 / 3 * [36 + (-64) - [8 - (27 + 12)]]
Perform operations within the innermost brackets:
25 + 21 / 3 * [36 - 64 - [8 - 39]]
Continue simplifying:
25 + 21 / 3 * [-28 - (-31)]
Perform the subtraction:
25 + 21 / 3 * [-28 + 31]
Further simplification:
25 + 21 / 3 * 3
Now, perform the multiplication and division:
25 + 7 * 3
25 + 21
46
b. 5 - 10² + 21 / 3 * 6² + (-4)³ - 8 - |-3|³ + 12
Simplify each term step by step:
5 - 100 + 21 / 3 * 36 + (-64) - 8 - 27 + 12
Perform operations involving multiplication and division:
5 - 100 + 7 * 36 + (-64) - 8 - 27 + 12
Continue simplifying:
5 - 100 + 252 - 64 - 8 - 27 + 12
Perform addition and subtraction:
-88 + 252 - 64 - 8 - 27 + 12
-88 + 200 - 27 + 12
85 - 27 + 12
58 + 12
70