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`a, = 5^3 xx 3^3 = 15^3`
`b, = 12^3 xx 4^3 = 48^3`
`c, = 625^3 xx 8^3 = 5000^3`
`d, = 625 ^3 xx 125^3 = 78125^3`
`e, = 5^20 : 5^14 = 5^6`
1,\(125\cdot27=5^3\cdot3^3=\left(5\cdot3\right)^3=15^3\)
2, \(12^3\cdot64=12^3\cdot4^3=\left(12\cdot4\right)^3=48^3\)
3, \(25^6\cdot8^3=\left(5^2\right)^6\cdot\left(2^3\right)^3=5^8\cdot2^9\)
4, \(25^6\cdot125^3=\left(5^2\right)^3\cdot\left(5^3\right)^3=5^6\cdot5^9=5^{15}\)
5,\(625^5:25^7=\left(5^4\right)^5:\left(5^2\right)^7=5^{20}:5^{14}=5^6\)
a/ M = (71+x)-(-24+x)+(-35-x) = 71 + x + 24 - x - 35 - x = (71 + 24 - 35) - x = 95 - 35 - x = 60 - x
b/ N=x-34-[(15+x)-(23-x)] = x - 34 - (15 + x - 23 + x) = x - 34 - (-8 + 2x) = x - 34 + 8 - 2x = -26 - x
\(a,M=\left(71+x\right)-\left(-24+x\right)+\left(-35-x\right)\)
\(=71+x+24-x-35-x\)
\(=60-x\)
\(b,N=x-34-\left[\left(15+x\right)-\left(23-x\right)\right]\)
\(=x-34-\left(15+x-23+x\right)\)
\(=x-34-15-x+23-x\)
\(=-26-x\)
\(\frac{10.\left(4^6.9^5+6^9.120\right)}{8^4.3^{12}-6^{11}}\)
=\(\frac{2.5.\left[\left(2^2\right)^6.\left(3^2\right)^5+\left(2.3\right)^9.2^3.3.5\right]}{\left(2^3\right)^4.3^{12}-\left(2.3\right)^{11}}\)
=\(\frac{2^{13}.5.3^{10}+2^{13}.5^2.3^{10}}{2^{12}.3^{12}-3^{11}.2^{11}}\)
=\(\frac{2^{13}.5.3^{10}.\left(1+5\right)}{2^{11}.3^{11}.\left(2.3-1\right)}\)
=\(\frac{4.5.6}{3.5}\)
= 8
\(A=\dfrac{2^{20}\cdot3^{10}\cdot35+2^{10}\cdot65+2^2\cdot3^2\cdot2^{12}\cdot3^6\cdot3^2\cdot5^2}{2^{12}\cdot5^4}\)
\(=\dfrac{2^{10}\left(2^{10}\cdot3^{10}\cdot35+65+2^4\cdot3^{10}\cdot5^2\right)}{2^{12}\cdot5^4}\)
\(=\dfrac{1}{4}\cdot\dfrac{2^4\cdot3^{10}\cdot5\cdot\left(2^6\cdot7+5\right)+65}{5^4}\)
\(=\dfrac{1}{4}\cdot\dfrac{2^4\cdot3^{11}\cdot5\cdot151+65}{5^4}\)
\(=\dfrac{1}{4}\cdot\dfrac{2^4\cdot3^{11}\cdot151+13}{5^3}=\dfrac{2^4\cdot3^{11}\cdot151+13}{500}\)
a/ (71+x) - [(-24) - x] + [(-35) - x ]=71+x+24+x-35-x=x+60
b/ x - 34 - [(15 + x) - (23 - x)]=x-34-15-x-23+x=x-72
c/ 26 - [(-x) + 126 - 13) + [(-113) + x]=26+x-126+13-113+x=2x-200=2(x-100)
0 à ghi đề ko hiểu gì hết
-8 + (x - 35 ) + 6
=(-8 + 6 ) + (x - 35)
= -2 + x + 35
=(-2 + 35) + x
=33 + x
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