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1: \(=-145\cdot13+145\cdot57+57\cdot10-57\cdot145=-1315\)
2: \(=17\cdot15-17\cdot16+16\cdot17-16\cdot20=255-320=-65\)
3: \(=-38\cdot25+38\cdot4-25\cdot4+25\cdot38=13\cdot4=52\)
4: \(=23\cdot145-23\cdot17-145\cdot23+145\cdot6=479\)
5: \(=24\cdot15-24\cdot4+4\cdot24-4\cdot15=360-60=300\)
6: \(=199\left(15-17+17-5\right)=199\cdot10=1990\)
7: \(=-39\cdot5+39\cdot99+99\cdot10-99\cdot39=795\)
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\(2^x:4=32\\ \Rightarrow2^x=128\\ \Rightarrow2^x=2^7\\ \Rightarrow x=7\)
\(3^{x-2}:3=243\\ \Rightarrow3^{x-2}=729\\ \Rightarrow3^{x-2}=3^6\\ \Rightarrow x-2=6\\ \Rightarrow x=8\)
\(256:4^{x+1}=4^2\\ \Rightarrow4^{x+1}=4^2\\ \Rightarrow x+1=2\\ \Rightarrow x=1\)
\(4^{2x-1}:4=4^4\\ \Rightarrow4^{2x-1}=4^5\\ \Rightarrow2x-1=5\\ \Rightarrow x=3\)
\(5^{x-1}:5=5^3\\ \Rightarrow5^{x-1}=5^4\\ \Rightarrow x-1=4\\ \Rightarrow x=5\)
\(3^{2x+1}:3=3^4\\ \Rightarrow3^{2x+1}=3^5\\ \Rightarrow2x+1=5\\ \Rightarrow x=3\)
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\(\frac{323}{34}+\frac{34}{345}\times84=17\frac{179}{230}\)
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5. ( - 199 ) + ( - 200 ) + ( - 201 )
= [ ( - 199 ) + ( - 20 ) ] + ( - 200 )
= ( - 400 ) + ( - 200 )
= - 600
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\(-9-13-\left(-24\right)+11\)
\(=\left(-9-13\right)+\left(24+11\right)\)
\(=-22+35\)
\(=13\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a, -9-13-(-24)+11
=-22-(-24)+11
=2+11
=13
b, 323-6[3-7(-9)]
=323-6[3-(-63)]
=323-6.66
=323-396
=-73
c, (-3)^5:(-3)^3-9
=32-9
=9-9
=0
d,(-8)x16-13x8
=8x(-16)-13x8
=8x(-16-13)
=8x(-29)
=-232
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a, (43 - 13).(-3) + 27.(-14 - 16)
= 30.(-3) + 27.(-30)
= - 30.(3 + 27)
= -30.30
= -900
b, (-72).(34 -12) - 34.(12 - 72)
= -72.34 + 72.12 - 34.12 + 34.72
= (-72.34 + 34.72) + 12.(72 - 34)
= 12.38
= 456