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\(=\frac{9^3.8^3.9^2.6^2}{9^4.3^4.4^4}=\frac{9^5.4^3.2^3.2^2.3^2}{9^4.4^4.3^4}\)\(=\frac{9.2^3.2^2}{4.3^2}=2^3=8\)
\(=\frac{9^3.8^3.9^2.6^2}{9^4.12^4}=\frac{9.4^3.2^3.3^2.2^2}{3^4.4^4}=\frac{9.2^3.2^2}{3^2.4}\) =23=8
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\(=\frac{\left(2^3.3^2\right)^3.\left(2.3^3\right)^2}{\left(2^2.3^3\right)^4}=\frac{2^9.3^6.2^2.3^6}{2^8.3^{12}}=\frac{2^{9+2}.3^{6+6}}{2^8.3^{12}}=\frac{2^{11}.3^{12}}{2^8.3^{12}}=2^3=8\)
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\(A=\frac{72^3.54^2}{108^4}=\frac{\left(2^3.3^2\right)^3.\left(2.3^3\right)^2}{\left(2^2.3^3\right)^4}=\frac{2^9.3^6.2^2.3^6}{2^8.3^{12}}=\frac{2^{11}.3^{12}}{2^8.3^{12}}=\frac{2^3}{1}=8\)
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\(\frac{373248.2916}{136048896}\)= \(\frac{1088391168}{136048896}\)
Vậy đáp án là: \(\frac{1088391168}{136048896}\)= \(8\)
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=\(\frac{2^9.3^6.54^2}{54^4.2^4}\)=\(\frac{2^5.3^6}{54^2}\)=\(\frac{2^5.3^6}{2^2.3^6}\)=23
tích minh nha.
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\(A=\dfrac{72^3.54^2}{108^4}=\dfrac{\left(2^3.3^2\right)^3.\left(2.3^3\right)^2}{\left(2^2.3^3\right)^4}=\dfrac{2^9.3^6.2^2.3^6}{2^8.3^{12}}=\dfrac{2^{11}.3^{12}}{2^8.3^{12}}=2^3=8\)
\(B=\dfrac{3^{11}.11+3^{10}.5}{3^{10}.\left(11+5\right)}=\dfrac{3^{10}\left(3.11+5\right)}{3^{10}\left(11+5\right)}=\dfrac{38}{16}=\dfrac{19}{8}\)
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\(A=\dfrac{27^3.54^2}{108^4}\)
\(=\dfrac{\left(3^3\right)^3.\left(3^3.2\right)^2}{\left(2^2.3^3\right)^4}\)
\(=\dfrac{3^9.3^6.2^2}{2^8.3^{12}}\)
\(=\dfrac{3^{15}.2^2}{2^8.3^{12}}\)
\(=\dfrac{3^3}{2^5}=\dfrac{27}{32}\)
Vậy A =\(\dfrac{27}{32}\)
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\(A=\dfrac{3^{10}\cdot11+3^{10}\cdot5}{3^9\cdot2^4}=\dfrac{3^{10}\cdot\left(11+5\right)}{3^9\cdot16}=\dfrac{3^{10}\cdot16}{3^9\cdot16}=3\)
\(B=\dfrac{2^{10}\cdot13+2^{10}\cdot65}{2^8\cdot104}=\dfrac{2^{10}\cdot\left(13+65\right)}{2^8\cdot2^2\cdot26}=\dfrac{2^{10}\cdot78}{2^{10}\cdot26}=3\)
\(C=\dfrac{72^3\cdot54^2}{108^4}=\dfrac{\left(2^3\cdot3^2\right)^3\cdot\left(2\cdot3^3\right)^2}{\left(3^3\cdot2^2\right)^4}\\ =\dfrac{2^9\cdot3^6\cdot2^4\cdot3^6}{3^{12}\cdot2^8}=\dfrac{2^{13}\cdot3^{12}}{3^{12}\cdot2^8}=2^5=32\)
\(D=\dfrac{11\cdot3^{22}\cdot3^7-9^{15}}{\left(2\cdot3^{14}\right)^2}=\dfrac{11\cdot3^{29}-\left(3^2\right)^{15}}{2^2\cdot3^{28}}=\dfrac{11\cdot3^{29}-3^{30}}{2^2\cdot3^{28}}\\ =\dfrac{3^{29}\cdot\left(11-3\right)}{2^2\cdot3^{28}}=\dfrac{3^{29}\cdot8}{4\cdot3^{28}}=3\cdot2=6\)
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a) \(\frac{72^3.54^2}{108^4}=\frac{\left(2^3.3^2\right)^3.\left(2.3^3\right)^2}{\left(2^2.3^3\right)^4}=\frac{2^9.3^6.2^2.3^6}{2^8.3^{12}}=\frac{2^{11}.3^{12}}{2^8.3^{12}}=2^3=8\)
b) \(\frac{3^{10}.11+3^{10}.5}{3^9.2^4}=\frac{3^{10}.\left(11+5\right)}{3^9.16}=\frac{3.16}{16}=3\)
Nhanh lên nào các bạn làm nhanh có l.i.k.e làm sau cũng có l.i.k.e miễn làm đúng
\(\dfrac{72^3.54^2}{108^4}=\dfrac{\left(36.2\right)^3.54^2}{108^2.108^2}\\ =\dfrac{36^3.2^3.54^2}{\left(36.3\right)^2.\left(54.2\right)^2}=\dfrac{36^3.2^3.54^2}{36^2.3^2.54^2.2^2}\\ =\dfrac{36.2}{3^2}=\dfrac{72}{9}=8\)
\(S=\dfrac{72^3.54^2}{108^4}=\dfrac{\left(3^2.2^3\right)^3.\left(3^3.2\right)}{\left(3^3.2^2\right)^4}=\dfrac{3^6.2^9.3^3.2}{3^{12}.2^8}\\ =\dfrac{3^9.2^{11}}{3^{12}.2^8}=\dfrac{2^3}{3^3}=\left(\dfrac{2}{3}\right)^3\)