\(\dfrac{4^2.25^2+32.125}{2^3.5^2}\)
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\(\dfrac{4^2.25^2+32.125}{2^3.5^2}=\dfrac{2^4.5^4+2^5.5^3}{2^3.5^2}=\dfrac{2^3.5^2\left(2.5^2+2^2.5\right)}{2^3.5^2}=2.5^2+2^2.5=50+20=70\)
![](https://rs.olm.vn/images/avt/0.png?1311)
=\(\dfrac{\left(2^2\right)^2.\left(5^2\right)^2+2^5.5^2}{2^3.5^2}\)
=\(\dfrac{2^4.5^4+2^5.5^2}{2^3.5^2}\)
=\(\dfrac{2^3.\left(2.5^4+2^2.5^2\right)}{2^3.5^2}\)
=\(\dfrac{5^2.\left(2.5^2+2^2\right)}{5^2}\)
=\(2.5^2+2^2=54\)
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
a: \(\left(0.5\right)^3\cdot2^3=1\)
b: \(\left(0.25\right)^2\cdot16=1\)
c: \(\left(\dfrac{3}{5}\right)^3:\left(-\dfrac{27}{1000}\right)=\dfrac{3^3}{5^3}\cdot\dfrac{-1000}{27}=\dfrac{-1000}{125}=-8\)
![](https://rs.olm.vn/images/avt/0.png?1311)
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)
\(A=\dfrac{4^2.25^2+32.125}{2^3.5^2}=\dfrac{2^4.5^4+2^5.5^3}{2^3.5^2}\)
\(=\dfrac{2^4.5^3\left(5+2\right)}{2^3.5^2}=10.7=70\)
\(B=\dfrac{4^6.9^5+6^4.120}{8^4.3^{12}-6^{11}}=\dfrac{2^{12}.3^{10}+2^4.3^4.2^3.3.5}{2^{12}.3^{12}-2^{11}.3^{11}}\)
\(=\dfrac{2^{12}.3^{10}+2^7.3^5.5}{2^{11}.3^{11}\left(2.3-1\right)}=\dfrac{2^7.3^5\left(2^5.3^5+5\right)}{2^{11}.3^{11}\left(2.3-1\right)}\)
\(=\dfrac{2^5.3^5+5}{2^4.3^6.5}=\dfrac{2}{3.5}+\dfrac{5}{2^4.3^6.5}=\dfrac{2}{15}+\dfrac{1}{11664}\)
\(=\dfrac{7781}{58320}\)
Chúc bạn học tốt!!!
\(\dfrac{4^2.25^2+32.125}{2^3.5^2}=\dfrac{2^4.5^4+2^5.5^3}{2^3.5^2}=\dfrac{2^3.5^2\left(2.5^2+2^2.5\right)}{2^3.5^2}\)
\(=2.5^2+2^2.5=2.25+4.5=50+20=70\)