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Làm
\(\frac{4^2.25^2+32.125}{2^3.5^2}=\frac{2^4.5^4+2^5.5^3}{2^3.5^2}=\frac{2^4.5^3\left(5+2\right)}{2^3.5^2}=2.5.7=70\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(B=\frac{4^2.25^2+32.125}{2^3.5^2}=\frac{2^4.5^4+2^5.5^3}{2^3.5^2}\)
\(=\frac{2^4.5^3\left(5+2\right)}{2^3.5^2}=\frac{2^3.5^2.2.5.7}{2^3.5^2}=2.5.7=70\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a) \(3^2.\frac{1}{243}.81^2.\frac{1}{3^2}=\frac{1.81^2}{243}.\frac{3^2}{3^2}=\frac{6561}{243}.1=27\)
b, \(4^6.256^2.2^4=2^{12}.2^{16}.2^4=2^{32}\)
c) \(A=\frac{4^6.9^5+6^9.120}{8^4.3^{12}-6^{11}}\)(Mình rút gọn lun cho nhanh nhé ) \(\Rightarrow A=\frac{4}{5}\)
d) \(\Rightarrow B=70\)k cho mình nha Cô Nàng Họ Dương
Đây nhé : ý a,b mình đã giải thích rồi
c) \(=\frac{2^{12}.3^{10}+2^9.3^9.2^3.3.5}{2^{12}.3^{12}-2^{11}.3^{11}}=\frac{2^{12}.3^{10}.\left(1+5\right)}{2^{11}.3^{11}.\left(2.3-1\right)}=\frac{2.6}{3.5}=\frac{12}{15}=\frac{4}{5}\)\(\frac{4}{5}\)
d) \(=\frac{2^4.5^4+2^5.5^3}{2^3.5^2}=\frac{2^4.5^3.\left(5+2\right)}{2^3.5^2}=2.5.7=70\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(A=\dfrac{4^2.25^2+32.125}{2^3.5^2}=\dfrac{2^4.5^4+2^5.5^3}{2^3.5^2}\)
\(=\dfrac{2^4.5^3\left(5+2\right)}{2^3.5^2}=10.7=70\)
\(B=\dfrac{4^6.9^5+6^4.120}{8^4.3^{12}-6^{11}}=\dfrac{2^{12}.3^{10}+2^4.3^4.2^3.3.5}{2^{12}.3^{12}-2^{11}.3^{11}}\)
\(=\dfrac{2^{12}.3^{10}+2^7.3^5.5}{2^{11}.3^{11}\left(2.3-1\right)}=\dfrac{2^7.3^5\left(2^5.3^5+5\right)}{2^{11}.3^{11}\left(2.3-1\right)}\)
\(=\dfrac{2^5.3^5+5}{2^4.3^6.5}=\dfrac{2}{3.5}+\dfrac{5}{2^4.3^6.5}=\dfrac{2}{15}+\dfrac{1}{11664}\)
\(=\dfrac{7781}{58320}\)
Chúc bạn học tốt!!!
![](https://rs.olm.vn/images/avt/0.png?1311)
=\(\dfrac{\left(2^2\right)^2.\left(5^2\right)^2+2^5.5^2}{2^3.5^2}\)
=\(\dfrac{2^4.5^4+2^5.5^2}{2^3.5^2}\)
=\(\dfrac{2^3.\left(2.5^4+2^2.5^2\right)}{2^3.5^2}\)
=\(\dfrac{5^2.\left(2.5^2+2^2\right)}{5^2}\)
=\(2.5^2+2^2=54\)
\(A=\frac{4^2\times25^2+32\times125}{2^3\times5^2}\)
\(A=\frac{16\times625+16\times2\times125}{8\times25}\)
\(A=\frac{16\times625+16\times250}{200}\)
\(A=\frac{16\times\left(625+250\right)}{200}\)
\(A=\frac{16\times875}{200}\)
\(A=\frac{14000}{200}\)
\(A=70\)
\(A=\frac{4^2\times25^2+32\times125}{2^3\times5^2}\)
\(\Rightarrow A=\frac{16\times625+16\times2\times125}{8\times25}\)
\(\Rightarrow A=\frac{16\times625+16\times250}{200}\)
\(\Rightarrow A=\frac{16\times\left(625+250\right)}{200}\)
\(\Rightarrow A=\frac{16\times875}{200}\)
\(A=\frac{14000}{200}=70\)
\(\text{Vậy }A=70\)