3mũ2/1.4+3mũ2/4.7+3mũ2/7.10+.....+3mũ2/67.70
2022-1/3mũ2×3mũ2
\(\dfrac{2022-1}{3^2\cdot3^2}\)
\(=\dfrac{2021}{3^{2+2}}\)
\(=\dfrac{2021}{3^4}\)
\(=\dfrac{2021}{81}\)
Bạn nên gõ đề đầy đủ và bằng công thức toán để mọi người hỗ trợ tốt hơn.
A=7/1x9 +7/9x17+7/17x25+.....+7/81x89
B=5mũ2/1x4 +3mũ2/4x7+3mũ2+7x10+....+3mũ2/37x40
Ghi các bước tính ra ạ
\(A=\dfrac{7}{1.9}+\dfrac{7}{9.17}+\dfrac{7}{17.25}+...+\dfrac{7}{81.89}\)
\(\dfrac{8}{7}A=\dfrac{8}{1.9}+\dfrac{8}{9.17}+\dfrac{8}{17.25}+...+\dfrac{8}{81.89}\)
\(\dfrac{8}{7}A=1-\dfrac{1}{9}+\dfrac{1}{9}-\dfrac{1}{17}+\dfrac{1}{17}-\dfrac{1}{25}+...+\dfrac{1}{81}-\dfrac{1}{89}\)
\(\dfrac{8}{7}A=1-\dfrac{1}{89}=\dfrac{88}{89}\Rightarrow A=\dfrac{88}{89}:\dfrac{8}{7}=\dfrac{77}{89}\)
\(B=\dfrac{5^2}{1.4}+\dfrac{3^2}{4.7}+\dfrac{3^2}{7.10}+...+\dfrac{3^2}{37.40}\)
\(B=\dfrac{25}{1.4}+\dfrac{9}{4.7}+\dfrac{9}{7.10}+...+\dfrac{9}{37.40}\)
\(\dfrac{1}{3}B=\dfrac{25}{12}+\dfrac{3}{4.7}+\dfrac{3}{7.10}+...+\dfrac{3}{37.40}\)
\(\dfrac{1}{3}B=\dfrac{25}{12}+\dfrac{1}{4}-\dfrac{1}{7}+\dfrac{1}{7}-\dfrac{1}{10}+...+\dfrac{1}{37}-\dfrac{1}{40}\)
\(\dfrac{1}{3}B=\dfrac{25}{12}+\dfrac{1}{4}-\dfrac{1}{40}=\dfrac{277}{120}\Rightarrow B=\dfrac{277}{120}:\dfrac{1}{3}=\dfrac{277}{40}\)
\(A=\dfrac{7}{1.9}+\dfrac{7}{9.17}+\dfrac{7}{17.25}+...+\dfrac{7}{81.89}\)
\(=7\left(\dfrac{8}{1.9}+\dfrac{8}{9.17}+\dfrac{8}{17.25}+...+\dfrac{8}{81.89}\right)\)
\(=7\left(1-\dfrac{1}{9}+\dfrac{1}{9}-\dfrac{1}{17}+\dfrac{1}{17}-\dfrac{1}{25}+\dfrac{1}{25}+...+\dfrac{1}{81}-\dfrac{1}{89}\right)\)
\(=7.\left(1-\dfrac{1}{89}\right)=7.\dfrac{88}{89}=\dfrac{616}{89}\)
-3mũ2 . 135 - 3mũ2 . 130 + 5 m.n giúp tui zới tui đg cần gấp á
\(=\left(-3\right)^2\left(135+130\right)+5=9.265+5=2385+5=2390\)
Chứng minh Chứng minh 1/3−2/3mũ2+3/3mũ2−4/3mũ4+5/3mũ5−...+99/3mũ99<169
Tính bằng cách hợp lý ( nếu có thể)
a) (-21)+|-50|+(-29)-|-2016|
b) 36:3mũ2+3mũ2×2mũ3-15mũ0
a)-21+50-29-2016
=-2016
b) 36:9+9.8-1
=4+72-1
=75
18-(x-4)=3mũ2
\(18-\left(x-4\right)=3^2\)
=>x-4=18-9=9
=>x=9+4=13
98.42 - 50[(18 - 2mũ3) : 2 + 3mũ2 ]
98.42 - 50[(18 - 2mũ3) : 2 + 3mũ2 ]
= 98.42 - 50[(18 - 8) : 2 + 9]
= 98.42 - 50[10 : 2 + 9]
= 98.42 - 50[ 5 + 9 ]
= 98.42 - 50.14
= 28812.100
= 2881200
S=3+3mũ2+3mũ3+....+3mũ2022
\(\Rightarrow3S=3^2+3^3+3^4+...+3^{2023}\)
trừ vế với vế ta được :
\(3S-S=3^{2023}-3\)
\(\Rightarrow2S=3^{2023}-3\)
\(\Rightarrow S=\dfrac{3^{2023}-3}{2}\)
A=120:{60:[(3mux2 + 4mux2)-5]}
A=120:{60[(9+16)-5]}
A=120:{60[25-5]}
A=120:{60.20}
A=120:1200
A=0,1
A=120:{60:[(3mux2 + 4mux2)-5]}
A=120:{60[(9+16)-5]}
A=120:{60[25-5]}
A=120:{60.20}
A=120:1200
A=0,1