310.33+(-3)11.(-21)
_________________
39.25
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39\(\times\)25 + 87\(\times\)61 + 62
= 975 + 5307 + 62
= 6282 + 62
= 6344
\(-\dfrac{3}{17}+\left(\dfrac{2}{3}+\dfrac{3}{17}\right)=\dfrac{-3}{17}+\dfrac{3}{17}+\dfrac{2}{3}=\dfrac{2}{3}\)
\(\dfrac{-5}{21}+\dfrac{-16}{21}+1=-1+1=0\)
\(\dfrac{-4}{11}\cdot\dfrac{5}{15}\cdot\dfrac{11}{-4}=\dfrac{5}{15}=\dfrac{1}{3}\)
a)2^31=2.2^30=2.8^10
3^21=3.3^20=3.9^10
Vì 2.8^10<3.^10
\(\Rightarrow\)28^10<3.9^10\(\Rightarrow\)2^31<3^21
b)3^39=3^\(^{13x3}\)=159323^3
11^21=11\(^{7x3}\)=19487171^3
Vì 159323^3<19487171^3\(\Rightarrow\)3^39<11^21
c)11^1979<37^1320=(11^3)^660=1331^660
37^1320=(37^2)^660\(\Rightarrow\)11^1979<37^1320
\(\frac{21^{11}.5-7^{11}.3^{12}}{7^{10}.3^9+21^{10}}=\frac{7^{11}.3^{11}.5-7^{11}.3^{12}}{7^{10}.3^9+7^{10}.3^{10}}=\frac{7^{11}.3^{11}.\left(5-3\right)}{7^{10}.3^9.\left(1+3\right)}\)
\(=\frac{7^{11}.3^{11}.2}{7^{10}.3^9.4}=\frac{7.3^2}{2}=\frac{7.9}{2}=\frac{63}{2}\)
\(=\dfrac{3^{10}.3.11+\left(-1\right).3^{11}.\left(-1\right).3.7}{3^9.2^5}\\ =\dfrac{3^{11}.11+3^{12}.7}{3^9.2^5}\\ =\dfrac{3^9\left(3^2.11+3^3.7\right)}{3^9.2^5}\\ =\dfrac{9.11+27.7}{2^5}\\ =\dfrac{99+189}{32}\\ =\dfrac{288}{32}=9\)
A = \(\dfrac{3^{10}.33+\left(-3\right)^{11}.\left(-21\right)}{3^9.2^5}\)
A = \(\dfrac{3^{10}.3.11-3^{11}.\left(-21\right)}{3^9.2^5}\)
A = \(\dfrac{3^{11}.11+3^{11}.21}{3^9.2^5}\)
A = \(\dfrac{3^{11}.\left(11+21\right)}{3^9.2^5}\)
A = \(\dfrac{3^{11}.32}{3^9.32}\)
A = 32
A = 9