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a: \(4\cdot3^3-75:5^2\)
\(=4\cdot27-\dfrac{75}{25}\)
=108-3
=105
b: \(7\cdot2^4-16\cdot3\)
\(=16\cdot7-16\cdot3\)
=16(7-3)
=16*4=64
c: \(2^3\cdot17-2^3\cdot14\)
\(=8\cdot17-8\cdot14\)
=8(17-14)
=8*3
=24
d: \(45+\dfrac{54}{3^2}\)
\(=45+\dfrac{54}{9}\)
=45+6
=51
e: \(17\cdot85+15\cdot17-120\)
\(=17\left(85+15\right)-120\)
=1700-120
=1580
f: \(\dfrac{3^{24}}{3^{21}}+2^2\cdot2^3\)
\(=3^3+2^5\)
=27+32
=59
g: \(92+4^3:8\)
=92+64/8
=92+8
=100
h: \(5\cdot2^3+7^{11}:7^9-1^{2023}\)
\(=5\cdot8+49-1\)
=40+48
=88
1: \(23+\left(-13\right)+\left(-50\right)\)
\(=23-13-50\)
=10-50
=-40
2: \(-5+15+\left(-123\right)\)
\(=\left(-5+15\right)-123\)
=10-123
=-113
3: \(5871:\left\{928-\left[\left(-82+247\right)\right]\right\}\cdot5\)
\(=5871-\left\{928+82-247\right\}\cdot5\)
\(=5871-763\cdot5=5871-3815=2056\)
4: \(40-\left(4\cdot5^2-3\cdot2^3\right)\)
\(=40-4\cdot5^2+3\cdot2^3\)
\(=40-4\cdot25+3\cdot8\)
=40-100+24
=64-100
=-36
5: \(6^2\cdot5-7^2+149\)
\(=36\cdot5-49+149\)
\(=180+149-49\)
=180+100
=280
6: \(-210:\left[16+3\cdot\left(6+3\cdot2^2\right)\right]+\left(-2022\right)\)
\(=-210:\left[16+3\cdot\left(6+3\cdot4\right)\right]+\left(-2022\right)\)
\(=-210:\left[16+3\cdot18\right]+\left(-2022\right)\)
\(=-210:70-2022\)
=-3-2022
=-2025
7: \(5\cdot2^3+7^{11}:7^9-2023^0\cdot1^8\)
\(=5\cdot8+7^2-1\)
=40+49-1
=39+49
=88
8: \(400:\left\{5\cdot\left[360-\left(290+2\cdot5^2\right)\right]\right\}\)
\(=400:\left\{5\cdot\left[360-290-2\cdot25\right]\right\}\)
\(=400:\left\{5\cdot20\right\}\)
\(=\dfrac{400}{100}=4\)
9: \(75-\left(3\cdot5^2\right)-4\cdot5^3\)
\(=75-3\cdot25-4\cdot5^3\)
=-4*125
=-500
a: =(1-2-3+4)+(5-6-7+8)+...+(21-22-23+24)
=0+0+...+0
=0
b: =-7111+53+711-153=-6400-100=-6500
c: =-43(-1-296+296)=-43*(-1)=43
b) -123.47 + 47.23 = -47(123 - 23) = -47.100 = -4700
7: =-1+8=7
6: \(=-\left(8\cdot125\right)\cdot\left(2\cdot5\right)\cdot\left(25\cdot4\right)=-1000000\)
5: =-50+19+143+79-25-48
=-75+98+95
=23+95
=118
4: =37x9+17x9-35x9-35x11
=18+153-385
=-214
3: =187-23-20+180
=367-43
=324
4: \(=37\cdot9+17\cdot9-35\cdot9-35\cdot11=19\cdot9-385\)
\(=171-385=-214\)
5: =-50+19+143+79-25-48
=-75+94+95
=20+94
=114
c: \(24:\left\{300:\left[350-\left(175+25\right)\right]\cdot102\right\}\)
\(=\dfrac{24}{300:\left(350-200\right)\cdot102}\)
\(=\dfrac{24}{300:150\cdot102}=\dfrac{24}{204}=\dfrac{2}{17}\)
d: \(6:2\cdot3+4\cdot79-2\cdot5\)
\(=9-10+316\)
=316-1
=315
\(C)24:\left\{300:\left[350-\left(175+25\right)\right]\cdot102^0\right\}\)
\(=24:\left[300:\left(350-200\right)\cdot1\right]\)
\(=24:\left(300:150\right)\)
\(=24:2\)
\(=12\)
\(D)6^2:2\cdot3+4^2\cdot79-2^3\cdot5\)
\(=36:2\cdot3+16\cdot79-8\cdot5\)
\(=54+1264-40\)
\(=1278\)