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a, 75 + 58.50 – 58.25 = 3.25 + 58.(50 – 25) = 3.25 + 58.25 = 25.(3+58) = 25.61 = 1525
Ta có: 1525 = 5 2 . 61
b, 20: 2 2 – 5 9 : 5 8 = 20:4 – 5 = 5 – 5 = 0
c, 5 19 : 5 17 - 4 : 7 = 5 2 - 4 : 7 = (25 – 4):7 = 3
d, 47 - 45 . 2 4 - 5 2 . 12 : 14 = 47 – (45.16 – 25.12):14 = 47 – (720 – 300):14 = 47 – 420:14 = 47 – 30 = 17
e, 10 2 : 60 : 5 6 : 5 4 - 3 . 5 = 100 – 60: 5 2 - 15 = 100 – 60:(25 – 15) = 100 – 60:10 = 100 – 6 = 94
Ta có: 94 = 2.47
f, 2345 - 1000 : 19 - 2 21 - 18 2 = 2345 – 1000:(19 – 2. 3 2 ) = 2345 – 1000:(19 – 2.9) = 2345 – 1000:(19 – 18) = 2345 – 1000:1 = 2345 – 1000 = 1345
Ta có: 1345 = 3.269
g, 500 – {5.[409 – 2 3 . 3 - 21 2 ]+ 10 3 }:15 = 500 – {5.[409 – 8 . 3 - 21 2 ]+1000}:15 = 500 – {5.[409 – 3 2 ]+1000}:15 = 500 – {5.(409 – 9)+1000}:15 = 500 – {5.400+1000}:15 = 500 – (2000+1000):15 = 500 – 3000:15 = 500 – 200 = 300
Ta có: 300 = 2 2 . 3 . 5 2
h, 967 – [8 + 2 . 3 2 – 24:6 + 9 - 7 3 ].5 = 967 – [8+2.9 – 4+8].5 = 967 – 30.5 = 967 – 150 = 817
Ta có: 817 = 19.43
\(9x-2\times3^2=3^4\)
\(3^2\times x-2\times3^2=3^4\)
\(3^2\times\left(x-2\right)=3^4\)
\(x-2=3^4\div3^2\)
\(x-2=3^2\)
\(x-2=9\)
\(x=9+2\)
\(x=11\)
\(9x-2.3^2=3^4\)
\(3^2.x-2.3^2=3^4\)
\(3^2.\left(x-2\right)=3^4\)
\(x-2=3^2\)
\(x-2=9\)
\(x=11\)
2.32 - 43: (16.2)
= 2.9 - 64: 32
= 18 - 2
= 16
[3x-2]3=2.32
[3x-2]3 = 64
(3x-2)3 = 43
3x - 2 = 4
3x = 4 + 2
3x = 6
x = 6 : 3
x = 2
\(\left(3x-2\right)^3=2.32\\ \Rightarrow\left(3x-2\right)^3=64\\ \Rightarrow\left(3x-2\right)^3=4^3\\ \Rightarrow3x-2=4\\ \Rightarrow3x=6\\ \Rightarrow x=2\)
\(A=7^5:7^3+2\cdot3^2\)
\(A=7^{5-3}+2\cdot9\)
\(A=7^2+18\)
\(A=49+18\)
\(A=67\)
`2.3^2 + 24 : 6 . 2`
`=2 . 9+24:6.2`
`=18 + 8`
`=26`
`2.3^2 - 24:(6.2)`
`=2. 9 - 24 : 12`
`=18 - 2`
`=16`
\(b,2.3^2+24:6.2\\=2.9+4.2\\ =18+8=26\)
\(c,2.3^x-24:\left(6.2\right)\\ =2.3^x-24:12\\ =2.3^x-2\\ =2\left(3^x-1\right)\)