Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
a) \(4^8\cdot4^4=\left(2^2\right)^8\cdot\left(2^2\right)^4=2^{16}\cdot2^8=2^{16+8}=2^{24}\)
b) \(5^{12}\cdot7-5^{11}\cdot10\)
\(=5^{11}\cdot\left(5\cdot7-10\right)=5^{11}\cdot\left(35-10\right)=5^{11}\cdot25\)
\(=5^{11}\cdot5^2=5^{11+2}=5^{13}\)
d) \(27^{16}:9^{10}\)
\(=\left(3^3\right)^{16}:\left(3^2\right)^{10}=3^{48}:3^{20}=3^{48-20}=3^{28}\)
e) \(125^3:25^4=\left(5^3\right)^3:\left(5^2\right)^4=5^9:5^8=5^{9-8}=5\)
f) \(24^4:3^4-32^{12}:16^{12}\)
\(=\left(24:4\right)^4-\left(32:16\right)^{12}\)
\(=6^4-2^{12}\)
\(=2^4\cdot\left(3^4-2^8\right)=2^4\cdot-175=-2800\)
\(A=\frac{1\cdot2+2\cdot4+3\cdot6+4\cdot8+5\cdot10+6\cdot12}{3\cdot4+6\cdot8+9\cdot12+12\cdot16+15\cdot20+18\cdot24}\)
\(A=\frac{2\cdot3\left[1\cdot2\right]+2\cdot3\left[2\cdot4\right]+2\cdot3\left[3\cdot6\right]+2\cdot3\left[4\cdot8\right]+2\cdot3\left[5\cdot10\right]}{3\cdot4\left[3\cdot4+6\cdot8+9\cdot12+12\cdot16+15\cdot20\right]}\)
\(A=\frac{\left[3\cdot4+6\cdot8+9\cdot12+12\cdot16+15\cdot20\right]}{2\cdot3\left[3\cdot4+6\cdot8+9\cdot12+12\cdot16+15\cdot20\right]}=\frac{1}{2\cdot3}=\frac{1}{6}\)
\(B=\dfrac{1}{2}+\dfrac{1}{4}+\dfrac{1}{8}+\dfrac{1}{16}+\dfrac{1}{32}+\dfrac{1}{64}\)
=>\(B=\dfrac{32}{64}+\dfrac{16}{64}+\dfrac{6}{64}+\dfrac{2}{64}+\dfrac{1}{64}\)
=>\(B=\dfrac{32+16+6+2+1}{64}\)
=>\(B=\dfrac{63}{64}\)
\(\cdot DuyNam\)
`a, -5/6; -3/4; 7/24; 7/8; 16/17`
`b, 205/107; 20/23; 214/315; -5/8; -16/19`
Tính:
a,245-4×[16÷8+2×(4×3^2-9)]
=241×(4×27)
=241×108
=26028
b,375÷5^3+(3^8+3^6+2,2^3)
=375÷125+(7290+10,648)
=3+7300,648
=7303,648
a) 245 - 4 [ 16 : 8 + 2 ( 4 . 32 - 9 ) ] = 21
b) 375 : 53 + ( 38 + 36 + 2 , 23 ) = 7295.8
a) 24. { 32 : [ 12 - 4 + 4 ( 16 : 23 ) ] }
= 24. { 32 : [ 12 - 4 + 4 ( 16 : 8 ) ] }
= 24. { 32 : [ 12 - 4 + 4. 2 ] }
= 24. { 32 : [ 12 - 4 + 8 ] }
= 24. { 32 : 16 }
= 24. 2
= 48
b) 245 - 4 [ 16 : 8 + 2 ( 4.32 - 9 ) ]
= 245 - 4 [ 2 + 2 ( 4.9 - 9 )]
= 245 - 4 [ 2 + 2 ( 36 - 9 )]
= 245 - 4 [ 2 + 2. 27]
= 245 - 4 [ 2 + 54]
= 245 - 4. 56
= 245 - 224
= 21