Rút gọn các phép tính

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

a) 41 + (7-4)²
First, solve the parentheses: 41 + 3²
Then, solve the exponent: 41 + 9
Finally, add: 41 + 9 = 50

b) 320: {140 + [300 - (175 + 21 - 5)]}
First, solve the innermost parentheses: 320: {140 + [300 - (175 + 16)]}
Then, solve the innermost parentheses: 320: {140 + [300 - 191]}
Next, solve the brackets: 320: {140 + 109}
Finally, divide: 320 ÷ 249 = 1.285142

c) 1200: {4 - [126 - (4² * 5 + 16)]}
First, solve the exponent: 1200: {4 - [126 - (16 * 5 + 16)]}
Then, solve the multiplication: 1200: {4 - [126 - (80 + 16)]}
Next, solve the addition: 1200: {4 - [126 - 96]}
Then, solve the subtraction: 1200: {4 - 30}
Finally, divide: 1200 ÷ 26 = 46.153846

d) 276: [110 - (17 - 9)²] - 20220
First, solve the parentheses: 276: [110 - 8²] - 20220
Then, solve the exponent: 276: [110 - 64] - 20220
Next, solve the subtraction: 276: [46] - 20220
Finally, divide: 276 ÷ 20220 = 0.013634

e) 24 - 5 - [131 - (13 - 22)²]
First, solve the innermost parentheses: 24 - 5 - [131 - (-9)²]
Then, solve the exponent: 24 - 5 - [131 - 81]
Next, solve the subtraction: 24 - 5 - 50
Finally, subtract: 19 - 50 = -31

f) 191 [102 (97 - 94)² - 2023⁰]
First, solve the exponent: 191 [102 (97 - 94)² - 1]
Then, solve the parentheses: 191 [102 (3)² - 1]
Next, solve the exponent: 191 [102 (9) - 1]
Then, solve the multiplication: 191 [918 - 1]
Finally, multiply: 191 * 917 = 175147

g) 23 + 5² - {11 - [3² - 2 - (5² - 3 - 2³)]}
First, solve the innermost parentheses: 23 + 5² - {11 - [9 - 2 - (25 - 3 - 8)]}
Then, solve the innermost parentheses: 23 + 5² - {11 - [9 - 2 - 14]}
Next, solve the subtraction: 23 + 5² - {11 - [-7]}
Then, solve the subtraction: 23 + 5² - {18}
Next, solve the exponent: 23 + 25 - {18}
Then, solve the addition: 48 - {18}
Finally, subtract: 48 - 18 = 30

h) (149 + [60 - (33 - 17)]} - 3² - 11
First, solve the innermost parentheses: (149 + [60 - 16]} - 3² - 11
Then, solve the subtraction: (149 + [44]} - 3² - 11
Next, solve the brackets: (149 + 44) - 3² - 11
Then, solve the exponent: (149 + 44) - 9 - 11
Next, solve the addition: 193 - 9 - 11
Finally, subtract: 193 - 20 = 173