Tính: B=72^3.54^2 phần 108^4
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\(\dfrac{72^3.54^2}{108^4}\)
\(=\dfrac{18^3.4^3.18^2.3^2}{18^4.6^4}\)
\(=\dfrac{18^5.2^6.3^2}{18^4.2^4.3^4}\)
\(=\dfrac{18.2^2}{3^2}\)
\(=\dfrac{9.2.2^2}{9}\)
\(=2^3=8\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(=\frac{9^3.8^3.9^2.6^2}{9^4.3^4.4^4}=\frac{9^5.4^3.2^3.2^2.3^2}{9^4.4^4.3^4}\)\(=\frac{9.2^3.2^2}{4.3^2}=2^3=8\)
\(=\frac{9^3.8^3.9^2.6^2}{9^4.12^4}=\frac{9.4^3.2^3.3^2.2^2}{3^4.4^4}=\frac{9.2^3.2^2}{3^2.4}\) =23=8
![](https://rs.olm.vn/images/avt/0.png?1311)
\(=\frac{\left(2^3.3^2\right)^3.\left(2.3^3\right)^2}{\left(2^2.3^3\right)^4}=\frac{2^9.3^6.2^2.3^6}{2^8.3^{12}}=\frac{2^{9+2}.3^{6+6}}{2^8.3^{12}}=\frac{2^{11}.3^{12}}{2^8.3^{12}}=2^3=8\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(A=\frac{72^3.54^2}{108^4}=\frac{\left(2^3.3^2\right)^3.\left(2.3^3\right)^2}{\left(2^2.3^3\right)^4}=\frac{2^9.3^6.2^2.3^6}{2^8.3^{12}}=\frac{2^{11}.3^{12}}{2^8.3^{12}}=\frac{2^3}{1}=8\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\frac{373248.2916}{136048896}\)= \(\frac{1088391168}{136048896}\)
Vậy đáp án là: \(\frac{1088391168}{136048896}\)= \(8\)
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(A=\dfrac{\left(2^3\cdot3^2\right)^3\cdot\left(2\cdot3^3\right)^2}{\left(2^2\cdot3^3\right)^4}=\dfrac{2^9\cdot3^6\cdot2^2\cdot3^6}{2^8\cdot3^{12}}=2^3=8\)
![](https://rs.olm.vn/images/avt/0.png?1311)
=\(\frac{2^9.3^6.54^2}{54^4.2^4}\)=\(\frac{2^5.3^6}{54^2}\)=\(\frac{2^5.3^6}{2^2.3^6}\)=23
tích minh nha.
\(\frac{72^3.54^2}{108^4}=\frac{108^4.8}{108^4}=8\)
B = \(\frac{6272}{729}\)