Rút gọn phép tính

To solve these expressions, we will follow the order of operations (PEMDAS/BODMAS):

a) [130 - (12-4)²]
First, solve the parentheses: (12-4) = 8
Then, square 8: 8² = 64
Finally, subtract 64 from 130: 130 - 64 = 66

b) 57 - [41 + (7-4)²]
First, solve the parentheses: (7-4) = 3
Then, square 3: 3² = 9
Next, solve the inner parentheses: 41 + 9 = 50
Finally, subtract 50 from 57: 57 - 50 = 7

c) 320 / {140 + [300 - (175 + 21 - 5)]}
First, solve the inner parentheses: (175 + 21 - 5) = 191
Next, solve the inner brackets: 300 - 191 = 109
Then, solve the inner braces: 140 + 109 = 249
Finally, divide 320 by 249: 320 / 249 ≈ 1.285

d) [126 - (4² * 5 + 16)]
First, solve the exponent: 4² = 16
Next, multiply 16 by 5: 16 * 5 = 80
Then, add 80 to 16: 80 + 16 = 96
Finally, subtract 96 from 126: 126 - 96 = 30

e) 1200 / {4}
Divide 1200 by 4: 1200 / 4 = 300

f) 276 / [110 - (17 - 9)²] - 2022⁰
First, solve the exponent: (17 - 9)² = 64
Next, subtract 64 from 110: 110 - 64 = 46
Then, divide 276 by 46: 276 / 46 = 6
Finally, subtract 2022⁰ (which is 1) from 6: 6 - 1 = 5

g) 24.5 - [131 - (13 - 2²)²]
First, solve the exponent: 2² = 4
Next, subtract 4 from 13: 13 - 4 = 9
Then, solve the inner parentheses: 131 - 9 = 122
Finally, subtract 122 from 24.5: 24.5 - 122 = -97.5

h) 191 / [102 * (97 - 94)² - 2023⁰]
First, solve the exponent: (97 - 94)² = 9
Next, multiply 102 by 9: 102 * 9 = 918
Then, subtract 2023⁰ (which is 1) from 918: 918 - 1 = 917
Finally, divide 191 by 917: 191 / 917 ≈ 0.208

i) 23 + 52 - {11 - [3²]}
First, solve the exponent: 3² = 9
Next, subtract 9 from 11: 11 - 9 = 2
Then, solve the inner braces: 23 + 52 - 2 = 73

j) There is an incomplete expression. Please provide the missing part.