\(96+14+35\)
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96 : ( 3,75 : x ) = 94,5
3,75 : x = 96 : 94,5
3,75 : x = \(\frac{96}{94,5}\)
x = 3,75 : \(\frac{96}{94,5}\)
x = \(\frac{354,375}{96}\)
\(\frac{1}{2}+\frac{1}{14}+\frac{1}{35}+\frac{1}{x}\left(3+x\right)=\frac{6}{13}\)
\(\Rightarrow\frac{1}{2}+\frac{1}{14}+\frac{1}{35}+\frac{3+x}{x}=\frac{6}{13}\)
\(\Rightarrow\frac{1}{2}+\frac{1}{14}+\frac{1}{35}+1+\frac{3}{x}=\frac{6}{13}\)
\(\Rightarrow\frac{3}{x}+\frac{8}{5}=\frac{6}{13}\)
\(\Rightarrow\frac{3}{x}=-\frac{74}{65}\)
\(\Rightarrow-74x=195\)
\(\Rightarrow x=\frac{-195}{74}\)
\(\frac{14^{16}\times21^{32}\times35^{48}}{10^{16}\times35^{32}\times7^{96}}\)
\(=\frac{\left(2\times7\right)^{16}\times\left(3\times7\right)^{32}\times\left(5\times7\right)^{48}}{\left(2\times5\right)^{16}\times\left(5\times7\right)^{32}\times7^{96}}\)
\(=\frac{2^{16}\times7^{16}\times3^{32}\times7^{32}\times5^{48}\times7^{48}}{2^{16}\times5^{16}\times5^{32}\times7^{32}\times7^{96}}=\frac{2^{16}+7^{96}+3^{32}+5^{48}}{2^{16}\times5^{48}\times7^{32}\times7^{96}}\)
\(=\frac{3^{32}}{7^{32}}=\left(\frac{3}{7}\right)^{32}\)
\(=\dfrac{7^{16}\cdot2^{16}\cdot7^{32}\cdot3^{32}\cdot7^{48}\cdot5^{48}}{5^{16}\cdot2^{16}\cdot5^{32}\cdot3^{32}\cdot7^{96}}\)
\(=\dfrac{7^{96}\cdot2^{16}\cdot3^{32}\cdot5^{48}}{7^{96}\cdot2^{48}\cdot5^{48}}=\dfrac{3^{32}}{2^{32}}=1.5^{32}\)
Số các số hạng là:
(100-40):1+1=61 số
Tổng là:
(100+40)x61:2=4270
Đáp số:4270
Số các số hạng là:
(98-10):2+1=45 số
Tổng là:
(98+10)x45:2=2430
Đáp số:2430
Số các số hạng là:
(95-35):3+1=21 số
Tổng là:
(95+35)x21:2=1365
Đáp số:1365
\(\dfrac{14^{16}}{21^{32}}.\dfrac{35^{48}}{10^{16}}.\dfrac{15^{32}}{7^{96}}\)=\(\dfrac{\left(2.7\right)^{16}.\left(5.7\right)^{48}.\left(3.5\right)^{32}}{\left(3.7\right)^{32}.\left(2.5\right)^{16}.7^{96}}\)=\(\dfrac{2^{16}.7^{16}.5^{48}.7^{48}.3^{32}.5^{32}}{3^{32}.7^{32}.2^{16}.5^{16}.7^{96}}\)
=\(\dfrac{2^{16}.3^{32}.5^{80}.7^{64}}{2^{16}.3^{32}.5^{16}.7^{128}}=\dfrac{5^{64}}{7^{64}}\)
1) 18+14+16+35+110+160+150+145+158+140+55+25
= (14+16)+(35+25)+(145+55)+(140+160)+(158+18)+(110+150)
= 30+ 60 +200+ 300+ 176+ 260
= 590+ 436= 1026.
2) 62+ 78 +48+ 96+85+ 91
= (62 +48)+ (96 +85 +91+ 78)
= 110 + 350= 460.
3) 107 +439 + 666 +673+ 358 + 187
= (107 + 673) + ( 439 + 666) + ( 358+ 187)
= 780 + (1105 + 545)
= 780+ 1650= 2430.
4) 187 + 62+ 78+48+ 96+ 85+ 91+107+ 439+ 666+ 673+ 358
= (187 + 673) + ( 62+ 78)+ (439+ 91)+ ( 85+ 358+ 107)+ (666+ 96+ 48)
= (860+ 140)+ (530+ 550+ 810)
= 1000+ 1890= 2890.
A=\(\frac{14^{16}.21^{32}.35^{48}}{10^{16}.15^{32}.7^{96}}\)= \(\frac{\left(2.7\right)^{16}.\left(3.7\right)^{32}.\left(5.7\right)^{48}}{\left(2.5\right)^{16}.\left(3.5\right)^{32}.7^{96}}\)= \(\frac{2^{16}.7^{16}.3^{32}.7^{32}.5^{48}.7^{48}}{2^{16}.5^{16}.3^{32}.5^{32}.7^{96}}\)= \(\frac{2^{16}.7^{96}.3^{32}.5^{48}}{2^{16}.5^{48}.3^{32}.7^{96}}\)=1
96+14+35
=110+35
=145
k mình nha
mình k lại
\(96+14+35=110+35=145\)
ai k mình k lại