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a: \(=\dfrac{5^4\left(75+175\right)}{5^6\cdot4-5^4\cdot5^2\cdot3}=\dfrac{5^4\cdot250}{5^6}=10\)
b: \(=\dfrac{3^2\cdot5^2\cdot2^6}{2^3\cdot3^2}=\dfrac{5^2\cdot2^3}{1}=25\cdot8=200\)
c: \(=\dfrac{\left(3\cdot2^{18}\right)^2}{11\cdot2^{13}\cdot2^{22}-2^{36}}\)
\(=\dfrac{3^2\cdot2^{36}}{11\cdot2^{35}-2^{36}}=\dfrac{3^2\cdot2^{36}}{2^{35}\left(11-2\right)}=2\)
d: \(=12\left(194+437+369\right)=12000\)
e: \(=A\cdot\left(91-91\right)=0\)
a) \(\left(20.2,4+12.2,4-48.2,4\right):2\)
\(=\left[2^4.\left(20+12-48\right)\right]:2=2^4.\left(-16\right):2=\left(2^4:2\right).\left(-16\right)=8.\left(-16\right)=-128\)
b)\(\left(75.5^4+175.5^4\right):\left(20.25.125-625.75\right)\)
\(=\left[5^4.\left(75+175\right)\right]:\left[5.\left(4.5.25-125.15\right)\right]\)
...............
c)\(100-\left(75-3^2\right)=100-75+9=34\)
chúc cậu học tốt:)
nếu được thì làm quen ạ<3
\(\dfrac{\left(3.4.2^{16}\right)^2}{11.2^{13}.4^{11}-16^9}\)
\(=\dfrac{3^2.\left(2^2\right)^2.\left(2^{16}\right)^2}{11.2^{13}.\left(2^2\right)^{11}-\left(2^4\right)^9}\)
\(=\dfrac{3^2.2^4.2^{32}}{11.2^{13}.2^{22}-2^{36}}\)
\(=\dfrac{3^2.2^{36}}{11.2^{35}-2.2^{35}}\)
\(=\dfrac{3^2.2^{36}}{2^{35}.\left(11-2\right)}\)
\(=\dfrac{3^2.2^{36}}{2^{35}.9}\)
\(=\dfrac{3^2.2^{36}}{2^{35}.3^2}\)
\(=2\)