25.5.4.2.10 mũ
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
a) \(...=10^5.10^2.10^2=10^9\)
b) \(...=\left(2^2.3\right).\left(2^2.3\right).\left(2^2.3\right).2.3=2^7.3^4\)
c) \(...=5^2.5.2^2.2.2.5=2^4.5^4\)
d) \(...=7.3.2.5.2.5.3.5.2.5=2^33^2.5^4.7\)
a/
\(100000.100.10.10=10^5.10^2.10.10=10^9=2^9.5^9\)
b/
\(12.12.12.6=2^2.3.2^2.3.2^2.3.2.3=2^7.3^4\)
c/
\(25.5.4.2.10=5^2.5.2^2.2.2.5=2^4.5^4\)
d/
\(210.10.3.5.10=21.10.10.3.5.10=3.7.2.5.2.5.3.5.2.5=2^3.3^2.5^4.7\)
Ta có:
12 . 12 . 12 . 2. 6 = 12 . 12 . 12 . 12 = 124
25 . 5 . 4 . 2 . 10 = 25 . 4 . 2 . 10 . 5 = 100 . 100 = 1002
2. 10 . 10 . 3 . 5. 10 = 10 . 10 . 10 . 2 . 5 . 3 = 10 . 10 . 10 . 10 . 3 = 104 . 3
a,12.12.2.12.6=12.12.12.(2.6)=12.12.12.12=124
b,25.5.4.2.10=(25.4)(5.2.10)=100.100=1002
c,2.10.10.3.5.10=10.10.10.2.5.3=10.10.10.10.3=104.3
1) \(12\cdot12\cdot2\cdot12\cdot6=12\cdot12\cdot12\cdot12=12^4\)
2) \(25\cdot5\cdot4\cdot2\cdot10=\left(25\cdot4\right)\cdot\left(5\cdot2\cdot10\right)=100\cdot100=100^2=10^4\)
3) \(2\cdot10\cdot10\cdot3\cdot5\cdot10=3\cdot10\cdot10\cdot10\cdot10=3\cdot10^4\)
4) \(a\cdot a\cdot a+b\cdot b\cdot b\cdot b=a^3+b^4\)
Viết gọn các biểu thức sau bằng cách dùng lũy thừa
1) 12.12.2.12.6
=> 12 . 12 . 12 . (2 . 6)
= 12 . 12 . 12 . 12 . 12 = 125
2) 25.5.4.2.10
=> ( 25 . 4 ) . ( 2 . 5 . 10 )
= 100 . 100 = 1002
3) 2.10.10.3.5.10
=> ( 2 . 5 ) . 10 . 10 . 10 . 3
= 10 . 10 . 10 . 10 . 3 = 104 . 3
4) a.a.a cộng b.b.b.b
=> a3 + b4
a: =5-78*32
=5-2496
=-2491
b: \(=6\left(9-6\right)=6\cdot3=18\)
c: \(=46\cdot\dfrac{\left(123-42\right)}{81}=46\)
d: \(=181+3-84+8\cdot25\)
=100+200
=300
e: \(=64\cdot35+140\cdot84-1=2240-1+11760\)
=14000-1
=13999
f: \(=3^3+25\cdot8-1=26+200=226\)
g: \(=3+2^4+1=16+4=20\)
h: \(=36:4\cdot3+2\cdot25-1=27+50-1=27+49=76\)
1; 73.52.54.76:(55.78)
= (73.76).(52.54) : (55.78)
= 79.56: (55.78)
= (79:78).(56:55)
= 7.5
= 35
2; 33.a7.3.a2:(34.a6)
= (33.3).(a7.a2): (34.a6)
= 34.a9: (34.a6)
= (34:34).(a9:a6)
= a3
a,\(5^3.2-100:4+2^3.5\)
= 125 . 2 - 25 + 8 . 5
= 250 - 25 + 40
= 265
b, \(6^2:9+50.2-3^3.3\)
= 36 : 9 + 100 - 27 . 3
= 4 + 100 - 81
= 23
a)\(\frac{3^{10}.\left(-5\right)^{21}}{\left(-5\right)^{20}.3^{12}}=\frac{-5}{9}\)
b)\(\frac{\left(-11\right)^5.13^7}{11^5.13^8}=-\frac{1}{13}\)
c)\(\frac{2^{10}.3^{10}-2^{10}.3^9}{2^9.3^{10}}=\frac{2^{10}.3^9\left(3-1\right)}{2^9.3^{10}}=2\)
d(\(\frac{5^{11}.7^{12}+5^{11}.7^{11}}{5^{12}.7^{12}+9.5^{11}.7^{11}}=\frac{5^{11}.7^{11}\left(7+1\right)}{5^{11}.7^{11}\left(35+9\right)}=\frac{1}{6}\)
`@` `\text {Ans}`
`\downarrow`
`3^2 + 4^2`
`= 9 + 16`
`= 25`
_____
`5^2 + 12^2`
`= 25 + 144`
`= 169`
_____
`17^2 - 15^2`
`= 289 - 225`
`= 64`
______
`29^2 - 21` mũ mấy ạ?
______
`5^2 - 2^3 + 4^3`
`= 25 - 8 + 64`
`= 17 + 64`
`= 81`