(1/9)^3.(21/7)^4.(-16/5)^2
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1+2+3+5+8+13+21+34+55+89+144+233
= ( 2+3+5) +( 1+8+21) +( 13+34+233) + ( 55+89+144)
= 10 + 30 + 280 + 288
= 40+ 280 + 288
= 320 + 288
= 608
1 + 2 + 3 + 5 + 8 + 13 + 21 + 34 + 55 + 89 + 144 + 233
= (1 + 2 + 3) + (5 + 8 + 13) + (21 + 34 + 55) + (89 + 144 + 233)
= 3 x 2 + 13 x 2 + 55 x 2 + 233 x 2
= (3 + 13 + 55 + 233) x 2
= 304 x 2
= 608
1. -x+20 = -(-15)-8+13
=> -x=15-8+13-20
=> -x=0
=> x=0
2. -(-10)+x=-13+(-9)+(-6)
=> 10+x=-13-9-6
=> x = -13-9-6-10
=> x = -38
3. 8-(-12)+10=-(-14)-x
=> 8+12+10=14-x
=> x = 14-8-12-10
=> x = -16
4. -(+12)+(-x)-(-3)=5-(-7)
=> -12-x+3=5+7
=> -x=5+7+12-3
=> -x=21
=> x=-21
5. 14-x+(-10)=-(-9)+(+15)
=> 14-x-10=9+15
=> -x=9+15-14+10
=> -x=20
=> x=-20
6. 12-(-17)+(-3)=-5+x
=> 12+17-3+5=x
=> x=31
7. x-(-19)-(+32)=14-(+16)
=> x+19-32=14-16
=> x=14-16+32-19
=> x=11
8. x-|-15|-|7|=-(-9)+|-5|
=> x-15-7=9+5
=> x=9+5+7+15
=> x=36
9. 15-x+17=13-(-21)
=> 15-x+17=13+21
=> -x=13+21-15-17
=> -x=2
=> x=-2
10. -|-5|-(-x)+4=3-(-25)
=> -5+x+4=3+25
=> x=3+25-4+5
=> x=29
`Answer:`
\(-\frac{7}{8}:\frac{21}{16}-\frac{5}{3}.\left(\frac{1}{5}-\frac{7}{10}\right)\)
\(=-\frac{7}{8}.\frac{16}{21}-\frac{5}{3}.\left(-\frac{1}{2}\right)\)
\(=-\frac{2}{3}-\left(-\frac{5}{6}\right)\)
\(=\frac{1}{6}\)
\(\frac{1}{5}.\left(\frac{1}{2}-\frac{1}{3}\right):\left(-\frac{9}{10}\right)+\left(-\frac{7}{3}\right)\)
\(=\frac{1}{5}.\frac{1}{6}.\left(-\frac{10}{9}\right)-\frac{7}{3}\)
\(=\frac{1}{30}.\left(-\frac{10}{9}\right)-\frac{7}{3}\)
\(=-\frac{1}{27}-\frac{7}{3}\)
\(=-\frac{64}{27}\)
\(x\times\dfrac{3}{5}=\dfrac{2}{3}+\dfrac{1}{3}\)
\(x\times\dfrac{3}{5}=\dfrac{3}{3}\)
\(x\times\dfrac{3}{5}=1\)
\(x=1:\dfrac{3}{5}\)
\(x=1\times\dfrac{5}{3}\)
\(x=\dfrac{5}{3}\)
\(x-\dfrac{4}{9}=\dfrac{3}{7}:\dfrac{9}{14}\)
\(x-\dfrac{4}{9}=\dfrac{3}{7}\times\dfrac{14}{9}\)
\(x-\dfrac{4}{9}=\dfrac{2}{3}\)
\(x=\dfrac{2}{3}+\dfrac{4}{9}\)
`x`\(=\dfrac{18}{27}+\dfrac{12}{27}\)
\(x=\dfrac{30}{27}=\dfrac{10}{9}\)
Câu 1: Tác phẩm Quốc âm thi tập là của ai ? (1đ)
a. Nguyễn Trãi.
b. Lê Thánh Tông.
c. Lý Tử Tấn.
d .Lương Thế Vinh.
a) \(5^6:5^5+\left(\dfrac{4}{9}\right)^0=5^{6-5}+1=5+1=6\)
b) \(\left(\dfrac{3}{7}\right)^{21}:\left(1-\dfrac{40}{49}\right)^3\)
\(=\left(\dfrac{3}{7}\right)^{21}:\left(\dfrac{9}{49}\right)^3\)
\(=\left(\dfrac{3}{7}\right)^{21}:\left[\left(\dfrac{3}{7}\right)^2\right]^3\)
\(=\left(\dfrac{3}{7}\right)^{21}:\left(\dfrac{3}{7}\right)^6\)
\(=\left(\dfrac{3}{7}\right)^{21-6}=\left(\dfrac{3}{7}\right)^{15}\)
c) \(\left(\dfrac{2}{3}\right)^3-\left(\dfrac{-52}{3}\right)^0+\dfrac{4}{9}\)
\(=\dfrac{8}{27}-1+\dfrac{4}{9}\)
\(=\dfrac{8-27+12}{27}=-\dfrac{7}{27}\)
\(a)5^6:5^5+\left(\dfrac{4}{9}\right)^0=5^1+1=6\)
\(b,\left(\dfrac{3}{7}\right)^{21}:\left(1-\dfrac{40}{49}\right)^3\)
\(=\left(\dfrac{3}{7}\right)^{21}:\left(\dfrac{49-40}{49}\right)^3\)
\(=\left(\dfrac{3}{7}\right)^{21}:\left(\dfrac{9}{49}\right)^3=\left(\dfrac{3}{7}\right)^{21}:[\left(\dfrac{3}{7}\right)^2]^3\)
\(=\left(\dfrac{3}{7}\right)^{21}:\left(\dfrac{3}{7}\right)^6=\left(\dfrac{3}{7}\right)^{21-6}\)
\(=\left(\dfrac{3}{7}\right)^{15}\)
\(c,3.\left(\dfrac{2}{3}\right)^3-\left(\dfrac{-52}{3}\right)^0+\dfrac{4}{9}\)
\(=3.\dfrac{8}{27}-1+\dfrac{4}{9}\)
\(=\dfrac{8}{9}-1+\dfrac{4}{9}\)
\(=\dfrac{8-9+4}{9}=\dfrac{1}{3}\)
\(\dfrac{21}{36}-\left(-\dfrac{11}{30}\right)=\dfrac{7}{12}+\dfrac{11}{30}=\dfrac{7.5+11.2}{60}=\dfrac{57}{60}=\dfrac{19}{20}\\ ----\\\dfrac{-4}{8}+\left(-\dfrac{3}{10}\right)=\dfrac{-1}{2}-\dfrac{3}{10}=\dfrac{-1.5-3}{10}=\dfrac{-8}{10}=-\dfrac{4}{5}\\ ----\\ \dfrac{7}{12}-\left(-\dfrac{9}{20}\right)=\dfrac{7}{12}+\dfrac{9}{20}=\dfrac{7.5+9.3}{60}=\dfrac{62}{60}=\dfrac{31}{30}\\ ---\\ \dfrac{-2}{5}+\left(-\dfrac{11}{30}\right)=-\dfrac{2}{5}-\dfrac{11}{30}=\dfrac{-2.6-11}{30}=-\dfrac{29}{30}\)
(\(\dfrac{1}{9}\))3 . ( \(\dfrac{21}{7}\) )4. (\(\dfrac{-16}{5}\))2
= \(\dfrac{1}{3^6}\) . 34. \(\dfrac{256}{25}\)
= \(\dfrac{256}{225}\)