Em tách ra nhé!
\(a,75-\left(3\cdot5^2-4\cdot2^3\right)\\ =75-\left(3\cdot25-4\cdot8\right)\\ =75-\left(75-32\right)\\ =75-43\\ =32\\ b,113\cdot7^2-7^2\cdot12-49\\ =7^2\left(113-12\right)-49\\ =49\cdot101-49\\ =4949-49\\ =4900\\ c,2\cdot5^2+3:71^0-54:3^3\\ =2\cdot25+3:1-54:27\\ =50+3-2\\ =53-2\\ =51\\ d,5\cdot2^3+7^{11}:7^9-1^8\\ =5\cdot8+7^2-1\\ =40+49-1\\ =89-1\\ =88\)
e)
\(\left(2^3\cdot9^4+9^3\cdot45\right)\div\left(9^2\cdot10-9^2\right)\)
`= [ 9^3 * (8*9 + 45)] \div [ 9^2 * (10 - 1)]`
`= [ 9^3 * (72 + 45)] \div (9^2 * 9)`
`= (9^3 * 117) \div 9^3`
`= 9^3 * 117 \div 9^3`
`= 117`
f)
\(400\div\left\{5\cdot\left[360-\left(290+2\cdot5^2\right)\right]\right\}\)
`= 400 \div { 5*[360 - (290 + 50)]}`
`= 400 \div [5*(360 - 340)]`
`= 400 \div (5*20)`
`= 400 \div 100`
`=4`
g)
\(3^2\cdot5+\left[7\div1^{2022}-\left(11-9\right)^2\right]+2022^0\)
`= 9*5 + (7 \div 1 - 2^2) + 1`
`= 45 + 7 - 2^2 + 1`
`= 45 + 3 + 1`
`= 49`
h)
\(500-\left\{5\cdot\left[409-\left(2^3\cdot3-21\right)^2\right]+10^3\right\}\div15\)
`= 500 - {5*[409 - (24 - 21)^2] + 1000} \div 15`
`= 500 - [ 5*(409 - 3^2) + 1000} \div 15`
`= 500 - (5*400 + 1000} \div 15`
`= 500 - (2000 + 1000} \div 15`
`= 500 - 3000 \div 15`
`= 500 - 200`
`= 300`
`#3107.101107`
2.
a)
\(75-\left(3\cdot5^2-4\cdot2^3\right)\)
`= 75 - (3*25 - 4*8)`
`= 75 - (75 - 32)`
`= 75 - 75 + 32`
`= 32`
b)
\(113\cdot7^2-7^2\cdot12-49\)
`= 113 * 7^2 - 7^2 * 12 - 7^2`
`= 7^2 * (113 - 12 - 1)`
`= 7^2 * 100`
`= 49*100`
`= 4900`
c)
\(2\cdot5^2+3\div71^0-54\div3^3\)
`= 2*25 + 3 \div 1 - 54 \div 27`
`= 50 + 3 - 2`
`= 50 + 1`
`= 51`
d)
\(5\cdot2^3+7^{11}\div7^9-1^8\)
`= 5*8 + 7^(11 - 9) - 1`
`= 40 + 7^2 - 1`
`= 40 + 49 - 1`
`= 89 - 1`
`= 88`
a) 75 - (3.52 - 4.23) b) 113.72 - 72 . 12 - 49
= 75 - (3.25 - 4.8) = 113.49 - 49 . 12 - 49
= 75 - (75 - 32) = 113.49 - 49 . 12 - 49.1
= 75 - 43 = (113 - 12 - 1) . 49
= 32 = 100 . 49
= 4900
c) 2.52 + 3.710 - 54 : 33 d) 5.23+ 711 : 79 - 18
= 2.25 + 3.1 - 54 : 27 = 5.8 + 72 - 1
= 50 + 3 - 2 = 40 + 49 - 1
= 51 = 88
