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1) 3^4.2+2^3.5-7(5^7:5^5)
=3^4.2+2^3.5-7.5^2
=81.2+8.5-7.25
=162+40-175
=202-175=27
2) 5.2^2.2^3-4(5^8:5^6)
=5.4.8-3.5^2
=160-100=60
3) (3^5.3^7):3^10+5.2^4-7^3:7
=3^12:3^10+5.16-7^2
=3^2+80-7^2
=9+80-49=40
4) 15:(3^5:3^4)-2^9:2^7
=15:3-2^2
=5-4=1
5) 5.3^5:(3^8:3^5)-2^3.5
=5.3^5:3^3-8.5
=5.3^2-40
=5.9-40
=45-40=5
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a) \(\left(3^5\times3^7\right):3^{10}+5\times2^4-7^3:7=3^{12}:3^{10}+5\times2^4-7^2\)
\(=3^2-5\times16-7^2=9-80-49=-120\)
b) \(15:\left(3^5:3^4\right)-2^9:2^7=15:3-2^2=5-4=1\)
c)\(5\times3^5:\left(3^8:3^5\right)-2^3\times5=5\times3^5:3^3-2^3\times5\)
\(=5\times3^2-2^3\times5=5\times9-8\times5=45-40=5\)
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a) = 53+4+1 = 58
b) = 65-4 = 6
c) = 32+3+4-7 = 32
d) = x4+2+1 = x7
e) = 812+10+3 = 825
1. \(5^3.5^4.5=5^{3+4+1}=5^8\)
2. \(6^5:\left(6^3.6\right)=6^5:\left(6^{3+1}\right)=6^5:6^4=6^{5-4}=6^1\)
3. \(\left(3^2.3^3.3^4\right):3^7=\left(3^{2+3+4}\right):3^7=3^9:3^7=3^{9-7}=3^2\)
4. \(x^4.x^2.x=x^{4+2+1}=x^7\)
5. \(\left(8^{12}.8^{10}\right).8^3=8^{12+10+3}=8^{25}\)
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\(a,\left(7x-11\right)^3=2^5.5^2+200\)
\(\Leftrightarrow\left(7x-11\right)^3=32.25+200\)
\(\Leftrightarrow\left(7x-11\right)^3=800+200\)
\(\Leftrightarrow\left(7x-11\right)^3=1000\)
\(\Leftrightarrow\left(7x-11\right)^3=10^3\)
\(\Rightarrow7x-11=10\)
\(\Rightarrow7x=21\)
\(\Rightarrow x=3\)
\(b,3^2.x^2-2^2.x^2=5^5-\left(255:51\right).11\)
\(\Rightarrow x^2\left(3^2-2^2\right)=3125-5.11\)
\(\Rightarrow x^2\left(9-4\right)=3125-55\)
\(\Rightarrow5x^2=2970\)
\(\Rightarrow x^2=2970:5\)
\(\Rightarrow x^2=594\)
\(\Rightarrow x=3\sqrt{66}\)
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a)410x220x830 b)56x53+32x33
=(22)10x220x(23)30 =56+3+32+3
=220x220x290 =59+35
=220+20+90 =1953125+243
=2130 =1953368.
c)13+23+33+43+53 d)225:324
=1+8+27+64+125 =225 :(25)4
=9+27+64+125 =225:220
=36+64+125 =225-20
=100+125 =25
=225
a)\(\left(2^2\right)^{10}.2^{20}.\left(2^3\right)^{30}=2^{20}.2^{20}.2^{90}=2^{130}\)
b)\(5^{6+3}+3^{2+3}=5^9+3^5\)
c)\(1^3+2^3+3^3+4^3+5^3=\left(1+2+3+4+5\right)^2=15^2=225\)
d)\(2^{25}:32^4=2^{25}:\left(2^5\right)^4=2^{25}:2^{20}=2^{25-20}=2^5=32\)
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7x-3.4=196
7x-3=49
x-3=2
x= -1
2x+3+2x=36
2x.9=36
2x=4
x=2
(52x.5x+2):25=1255
53x+2=517
x=5
8 + ( x - 9 ) = 125 - 64
8 + ( x - 9 ) = 61
x - 9 = 61 - 8
x - 9 = 53
x = 53 + 9
x = 62
vậy x = 62
\(2^3+x+3^2=5^3-4^3\)
\(\Leftrightarrow8+x+3^2=61\)
\(\Leftrightarrow x+3^2=53\)
\(\Leftrightarrow x=44\)