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\(=\dfrac{2^4\cdot5^4\cdot3^4-2^4\cdot3^2\cdot5^2}{2^8\cdot3^3\cdot5^2}=\dfrac{2^4\cdot3^2\cdot5^2\left(5^2\cdot3^2-1\right)}{2^8\cdot3^3\cdot5^2}\)
\(=\dfrac{1}{16}\cdot\dfrac{1}{3}\cdot\dfrac{224}{1}=\dfrac{224}{48}=\dfrac{14}{3}\)
\(\dfrac{10^4.81-16.15^2}{4^4.675}\)
\(=\dfrac{2^4.5^4.9^2-2^4.3^2.5^2}{2^8.5^4}\)
\(=\dfrac{1.25.9^2-1.3^2.1}{1.1}=1.25.9^2-1.3^2.1\)
\(=1899\)
Chúc bạn học tốt
\(\frac{10^4.81-16.15^2}{4^4.675}=\frac{\left(2.5\right)^4.3^4-2^4\left(3.5\right)^2}{2^8.5^2.3^3}=\frac{2^4.3^2.5^2\left(5^2.3^2-1\right)}{2^8.5^2.3^3}=\frac{255-1}{16.3}=\frac{14}{3}\)
\(A=\frac{10^4\cdot81-16\cdot15^2}{4^4\cdot675}\)
\(=\frac{2^4\cdot5^4\cdot3^3-2^4\cdot3^2\cdot5^2}{2^8\cdot3^3\cdot5^2}\)
\(=\frac{2^4\cdot5^2\cdot3\left(5^2\cdot3-3\right)}{2^8\cdot3^3\cdot5^2}\)
\(=\frac{5^2\cdot3-3}{2^4\cdot3^2}\)
\(=\frac{3\cdot\left(5^2-1\right)}{2^4\cdot3^2}=\frac{24}{48}=\frac{1}{2}\)
104.81 - 16,152 / 44,675 = 9739,9875/256,675
chắc em làm sai , vì em mới học lớp 5 , tỷ lệ đúng chắc chỉ là 1%
\(\frac{10^4.81-16.15^2}{4^4.675}=\frac{\left(2.5\right)^4.3^4-2^4\left(3.5\right)^2}{2^8.5^2.3^3}=\frac{2^4.3^2.5^2\left(5^2.3^2-1\right)}{2^8.5^2.3^3}=\frac{255-1}{16.3}=\frac{14}{3}\)
$\frac{10^4.81-16.15^2}{4^4.675}=\frac{10^4.3^4-4^2.15^2}{4^4.5^4}=\frac{30^4-60^2}{20^4}=\frac{900^2-60^2}{400^2}=\frac{20^2\left(45^2-3^2\right)}{20^2.2^2}=\frac{2016}{4}=504$104.81−16.15244.675 =104.34−42.15244.54 =304−602204 =9002−6024002 =202(452−32)202.22 =20164 =504
\(a,\dfrac{2^4.6^7}{9^3.4^6}=\dfrac{2^4.\left(2.3\right)^7}{\left(3^2\right)^3.\left(2^2\right)^6}=\dfrac{2^4.2^7.3^7}{3^6.2^{12}}=\dfrac{2^{11}.3^7}{3^6.2^{12}}=\dfrac{3}{2}\)
\(b,\dfrac{3^{18}.24^4}{9^4.81^5}=\dfrac{3^{18}.\left(3.2^3\right)^4}{\left(3^2\right)^4.\left(3^4\right)^5}=\dfrac{3^{18}.3^4.2^{12}}{3^8.3^{20}}=\dfrac{3^{22}.2^{12}}{3^{28}}=\dfrac{2^{12}}{3^8}\)
a) \(\frac{10^4.81-16.15^2}{\left(-8\right)^4.3^{12}+6^{11}}=\frac{10^4.3^4-4^2.15^2}{8^4.3^{12}+6^{11}}=\frac{30^4-60^2}{2^{12}.3^{12}+6^{11}}=\frac{\left(30^2\right)^2-60^2}{6^{12}+6^{11}}\)
\(=\frac{900^2-60^2}{6^{11}.\left(6+1\right)}=\frac{60^2.\left(15^2-1\right)}{6^{11}.7}=\frac{60^2.224}{6^{11}.7}=\frac{2^9.3^2.5^2.7}{2^{11}.3^{11}.7}=\frac{5^2}{2^2.3^9}=\frac{25}{78732}\)
\(3^{-4}=\frac{1}{81}\)
= \(\frac{1}{81}.81=1\)