Tính
A,310.11+310.5:39.24
B,210.13+210.65:28.104
thực hiện phép tính
a, (343+34) : (339+ 1)
b, 310.11+310.5 trên 39.24
\(a,\dfrac{3^{43}+3^4}{3^{39}+1}\)
\(=\dfrac{3^4\cdot\left(3^{39}+1\right)}{3^{39}+1}\)
\(=3^4\)
\(=81\)
\(b,\dfrac{3^{10}.11+3^{10}.5}{3^9.2^4}\)
\(=\dfrac{3^{10}\left(11+5\right)}{3^9.2^4}\)
\(=\dfrac{3^{10}.16}{3^9.2^4}\)
\(=\dfrac{3^{10}.2^4}{3^9.2^4}=3\)
Tính giá trị của biểu thức: A = 210.13+210.6528.104
210 . 13 + 210 . 6528 .104
= 210 . ( 13 + 6528 ) . 104
= 210 . 6541 .104
= 142855440
Thực hiện phép tính
410.815
415.530
2716:910
A=723.542
1084
B=310.11+310.5
39.24
\(4^{10}.8^{15}=2^{20}.2^{45}=2^{65}\)
\(4^{15}.5^{30}=2^{30}.5^{30}=10^{30}\)
\(27^{16}:9^{10}=3^{48}:3^{20}=3^{28}\)
\(72^3.54^2=2^9.3^6.2^2.3^6=2^{11}.3^{12}\)
\(108^4=2^8.3^{12}\)
\(3^{10}.11+3^{10}.5=3^{10}.\left(11+5\right)=3^{10}.16\)
\(3^9.2^4=3^9.2^4\)
`@` `\text {Ans}`
`\downarrow`
`4^10*8^15`
`= (2^2)^10 * (2^3)^15`
`= 2^20 * 2^45`
`=`\(2^{20+45}=2^{65}\)
`4^15 * 5^30`
`= (2^2)^15 * 5^30`
`= 2^30 * 5^30`
`= (2*5)^30`
`= 10^30`
`27^16 \div 9^10`
`= (3^3)^16 \div (3^2)^10`
`= 3^48 \div 3^20`
`=`\(3^{48-20}=3^{28}\)
`A = `\(72^3\cdot54^2\cdot108^4\)
`= 2^9 * 3^6 * 3^4 * 3^2 * 2^2 * 3^8 * 3^4 * 2^4 * 2^4`
`=`\(\left(2^9\cdot2^2\cdot2^4\cdot2^4\right)\cdot\left(3^6\cdot3^4\cdot3^2\cdot3^8\cdot3^4\right)\)
`= 2^19 * 3^24`
`B = 3^10 * 11 + 3^10 * 5 + 3^9 * 2^4`
`= 3^9 * (11*3 + 5*3 + 2^4)`
`= 3^9 * (33 + 15 + 16)`
`= 3^9 * 64`
`= 27^3 * 4^3`
`= (27 * 4)^3`
`= 108^3`
Tính nhanh
a/ 2 12 . 13 + 2 12 . 65 2 10 . 104 + 3 10 . 11 + 3 10 . 5 3 9 . 2 4
b/ 1 2 .4 + 1 4 .6 + 1 6 .8 + . .. + 1 98 .100
Tính giá trị của biểu thức sau
A=210.13+210.65
28.104
B=(1+2+3+…+100)(12+22+…+102)(65.111-13.15.37)
B=C*[13*37*(5*3-15)]=0
\(A=\dfrac{2^{10}\cdot78}{2^8\cdot26\cdot4}=\dfrac{78}{26}=3\)
Tính 2^10.13+2^10.65 phần (28.104)
\(\frac{2^{10}.13+2^{10}.65}{28.104}\) đề như vậy hả?
\(\frac{2^{10}.13+2^{10}.65}{28.104}\)=\(\frac{2^{10}.13+2^{10}.5.13}{2^2.7.2^3.13}\)
=\(\frac{2^{10}.13.\left(5+1\right)}{2^2.7.2^3.13}\)
=\(\frac{2^{10}.13.6}{2^5.7.13}\)
=\(\frac{2^5.6}{7}\)
=\(\frac{32.6}{7}\)
=\(\frac{192}{7}\)
Thực hiện các phép tính (tính nhanh nếu có thể)
a) 600 : 30 : 401 - (4.153 - 4. 53 )
b) 3 10 .11 + 3 10 .5 3 9 .2 4
tính :
\(\frac{2^{10}.13.2^{10}.65}{28.104}\)
trả lời
\(\frac{2^{10}.13.2^{10}.65}{28.104}\)=\(\frac{2^{20}.13^2.5}{2^5.7.13}=\frac{2^{15}.13.5}{7}\)
nếu thấy đúng thì tích
nếu sai thì thì thôi
tìm X:
310.5 - X = 135
310,5 - x = 135
x = 310,5 - 135
x = 175,5
Bài 2 : Tính :
a) 410 x 815
b) 2716 x 910
c) \(\frac{2^{10}.13+2^{10}.65}{28.104}\)
a)
\(4^{10}\cdot8^{15}=2^{20}\cdot2^{45}=2^{65}\)
b)
\(27^{16}\cdot9^{10}=3^{48}\cdot3^{20}=3^{68}\)
a) 410 . 815 = (22)10 . (23)15 = 220 . 245 = 265
b) 2716 . 910 = (33)16 .(32)10=348 . 320 = 368
c) \(\frac{2^{10}\cdot13+2^{10}\cdot65}{28\cdot104}=\frac{2^{10}\cdot13\cdot\left(1+5\right)}{2^5\cdot7\cdot13}=\frac{2^5\cdot6}{7}=\frac{192}{7}\)