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\(1,=\left(-1436+1434\right)+\left(1586+532\right)-100\\ =-2-100+2118=2016\\ 2,B=\dfrac{2^6\cdot3^{12}\cdot2^{12}\cdot2^6\cdot3^6}{2^{12}\cdot2^9\cdot3^9\cdot3^9}=2^3=8\)
\(A=-1436--1586+|-532|-\left(568+468\right)+1434.\)
\(=-1436+1586+532-1036+1434\)
\(=1080\)
\(A=-1436-\left(-1586+532\right)-\left(568+468\right)+1434\)
\(A=-1436-\left(-1054\right)-1036+1434\)
\(A=-382-1036+1434\)
\(A=-1418+1434\)
\(\Rightarrow A=16\)
Vậy \(A=16\)
\(A=\frac{18^4.2^{12}.4^3.9^3}{16^3.6^9.27^3}\)
\(A=\frac{\left(3.3.2\right)^4.2^{12}.\left(2^2\right)^3.\left(3^2\right)^3}{\left(4^2\right)^3.\left(3.2\right)^9.\left(3^3\right)^3}\)
\(A=\frac{3^{14}.2^{22}}{2^{21}.3^{18}}\)
\(A=\frac{2}{3^4}\)
\(A=\frac{2}{81}\)
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Lời giải:
\(\frac{18^2.2^{12}.4^3.9^3}{16^3.6^9.27^3}=\frac{(3^2.2)^2.2^{12}.(2^2)^3.(3^2)^3}{(2^4)^3.(2.3)^9.(3^3)^3}=\frac{3^4.2^2.2^{12}.2^6.3^6}{2^{12}.2^9.3^9.3^9}\)
\(=\frac{2^{2+12+6}.3^{4+6}}{2^{12+9}.3^{9+9}}=\frac{2^{20}.3^{10}}{2^{21}.3^{18}}=\frac{1}{2.3^8}=\frac{1}{13122}\)
a: \(A=\dfrac{16^5\cdot15^5}{2^{10}\cdot3^5\cdot5^4}=\dfrac{2^{20}\cdot3^5\cdot5^5}{2^{10}\cdot3^5\cdot5^4}=2^{10}\cdot5=5120\)
b: \(B=\dfrac{2^{15}\cdot3+2^{19}\cdot10}{2^{12}\cdot26}=\dfrac{2^{15}\left(3+2^4\cdot10\right)}{2^{13}\cdot13}=2^2\cdot\dfrac{163}{13}=\dfrac{652}{13}\)
A=\(\dfrac{9^5.30^3}{3^{15}.5^3.6^2}=\dfrac{3^{10}.3^3.10^3}{3^{15}.5^3.2^2.3^2}=\dfrac{3^{13}.2^3.5^3}{3^{15}.5^3.2^2.3^2}=\dfrac{2}{3^4}=\dfrac{2}{81}\)
b)a) A = (-1436) - (-1586) + |-532| - (568+468) + 1434
A=-1436+1586+532-1036+1434
A=150+532-1036+1434=1080
b)B=\(\frac{18^6.2^{12}.4^3.9^3}{16^3.6^9.27^3}=\frac{2^6.3^{12}.2^{12}.2^6.3^6}{2^9.2^9.3^9.3^9}=\frac{2^{24}.3^{18}}{2^{18}.3^{18}}=2^6\)
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