3^11.11+3^11.21/3^9.2^5
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Tính giá trị của biểu thức:
P=3^11.11+3^11.21/3^9.2^5
\(P=\frac{3^{11}\cdot11+3^{11}\cdot21}{3^9\cdot2^5}=\frac{3^{11}\cdot\left(11+21\right)}{3^9\cdot32}=\frac{3^{11}\cdot32}{3^9\cdot32}=3^2=9\)
\(P=\frac{3^{11}.11+3^{11}.21}{3^9.2^5}\)
\(=\frac{3^{11}.\left(11+21\right)}{3^9.32}\)
\(=\frac{3^{11}.32}{3^9.32}\)
\(=3^2=9\)
3/5.11+5/11.21+7/21.35+9/35.53
chứng tỏ: 3/5.11 + 5/11.21 + 7/21.35 + 9/35.53 < 1
\(\frac{3}{5.11}+\frac{5}{11.21}+\frac{7}{21.35}+\frac{9}{35.53}=\frac{1}{2}\left(\frac{1}{5}-\frac{1}{11}+\frac{1}{11}-\frac{1}{21}+\frac{1}{21}-\frac{1}{35}+\frac{1}{35}-\frac{1}{53}\right)=\frac{1}{2}\left(\frac{1}{5}-\frac{1}{53}\right)=\frac{1}{10}-\frac{1}{106}
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3/5.11+3/11.21+7/21.35+9/35.53
CMR 3/5.11+5/11.21+7/21.35+9/35.53<1
Giải Nhanh Hộ Mình Cái
a) -7/5+8/13+-3/5+5/13 b) 5/4+9/11.11/12 c) 1/2.8/17+1/2.2/17+1/2.7/17
A=\(\dfrac{3^{10}.11+3^{10}.5}{3^9.2^4}\)
\(A=\dfrac{3^{10}.11+3^{10}+5}{3^9.2^4}\\ A=\dfrac{3^{10}.\left(11+5\right)}{3^9.16}\\ A=\dfrac{3^{10}.16}{3^9.16}\\ A=3\)
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A = \(\dfrac{3^{10}.11+3^{10}.5}{3^9.2^4}\)
\(A=\dfrac{3^{10}.\left(11+5\right)}{3^9.16}\)
\(A=\dfrac{3^{10}.16}{3^9.16}\)
\(A=\dfrac{3^{10}}{3^9}=3\)
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tinh nhanh : P = ( 5 . 3^21 +4.3^12):(3^9.5^2-3^9.2^3)
Tính:
(\(2^2.5.3^3-5^2.2^3+20\)) \(3^2-10\)
\(\left(3^{10}.11+3^{10}.5\right)\left(3^9.2^4\right)\)
a: Ta có: \(\left(2^2\cdot5\cdot3^3-5^2\cdot2^3+20\right)\cdot3^2-10\)
\(=\left(4\cdot5\cdot27-25\cdot8+20\right)\cdot9-10\)
\(=\left(540-200+20\right)\cdot9-10\)
\(=3240-10=3230\)
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