27 mũ 4k : 3 mũ 4k - 32 mũ 12n : 16 mũ 12n
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a,�,
220.15+210.85220.15+210.85
=220.210.85+15=220.210.85+15
=230.100=230.100
=230.102=230.102
b,�,
2716:9102716:910
=(33)16:(32)10=(33)16:(32)10
=348:320=348:320
=328=328
c,�,
1253:2541253:254
=(53)5:(52)4=(53)5:(52)4
=515:58=515:58
=57=57
d,�,
244:34−3212:1612244:34−3212:1612
=(24:3)4−(32:16)12=(24:3)4−(32:16)12
=84−212=84−212
=(23)4−212=(23)4−212
=212−212=212−212
27 mũ 15 < 16 mũ 32 vì 27 mũ 15= 2.954312707 nhân 10 mũ 21
16 mũ 32= 3.402823669 nhân 10 mũ 38
k cho mìh nha bn!
a) 25x² - 16
= (5x)² - 4²
= (5x - 4)(5x + 4)
b) 16a² - 9b²
= (4a)² - (3b)²
= (4a - 3b)(4a + 3b)
c) 8x³ + 1
= (2x)³ + 1³
= (2x + 1)(4x² - 2x + 1)
d) 125x³ + 27y³
= (5x)³ + (3y)³
= (5x + 3y)(25x² - 15xy + 9y²)
e) 8x³ - 125
= (2x)³ - 5³
= (2x - 5)(4x² + 10x + 25)
g) 27x³ - y³
= (3x)³ - y³
= (3x - y)(9x² + 3xy + y²)
a) \(25x^2-16=\left(5x-4\right)\left(5x+4\right)\)
b) \(16a^2-9b^2=\left(4a-3b\right)\left(4a+3b\right)\)
c) \(8x^3+1=\left(2x+1\right)\left(4x^2-2x+1\right)\)
d) \(125x^3+27y^3=\left(5x+3y\right)\left(25x^2-15xy+9y^2\right)\)
e) \(8x^3-125=\left(2x-5\right)\left(4x^2-10x+25\right)\)
g) \(27x^3-y^3=\left(3x-y\right)\left(9x^2+3xy+y^2\right)\)
Trả lời:
a, 5 . 125 . 625 = 5 . 53 . 54 = 58
b, 84 . 165 . 32 = ( 23 )4 . ( 24 )5 . 25 = 212 . 220 . 25 = 237
c, 274 . 8110 = ( 33 )4 . ( 34 )10 = 312 . 340 = 352
a) 5 . 125 . 625 = 5 . 53 . 54 = 51 + 3 + 4 = 58
b) 84 . 165 . 32 = 212 . 220 . 25 = 212 + 20 + 5 = 237
c) 274 . 8110 = 312 . 340 = 312 + 40 = 352
a, \(\frac{6^5\cdot27^2}{7^3\cdot9^5}=\frac{2^5\cdot3^5\cdot\left(3^3\right)^2}{7^3\cdot\left(3^2\right)^5}=\frac{2^5\cdot3^5\cdot3^6}{7^3\cdot3^{10}}=\frac{2^5\cdot3^{11}}{7^3\cdot3^{10}}=\frac{2^5\cdot3}{7^3}\)
b, \(\frac{12^7\cdot9^3}{8^5\cdot27^3}=\frac{3^7\cdot2^{12}\cdot3^6}{2^{15}\cdot3^9}=\frac{2^{12}\cdot3^{13}}{2^{15}\cdot3^9}=\frac{3^4}{2^3}\)
c, \(\frac{20^6\cdot8^2}{16^3\cdot25^3}=\frac{2^{12}\cdot5^6\cdot2^6}{2^{12}\cdot5^6}=2^6\)
`36^{4}.16^{2}`
`=6^{8}.2^{8}`
`=(6.2)^8`
`=12^8`
`4^{6}.27^{4}`
`=2^{12}.3^{12}`
`=(2.3)^12`
`=6^12`
2 câu này không rõ đề
\(36^4\cdot16^2=1296^2\cdot16^2=429981696\)
\(4^6\cdot27^4=2^{12}\cdot3^{12}=2176782336\)
a) \(4^3\cdot32^4\)
\(=\left(2^2\right)^3\cdot\left(2^5\right)^4\)
\(=2^6\cdot2^{20}\)
\(=2^{26}\)
b) \(3^{20}\cdot9^{10}\cdot27^2\)
\(=3^{20}\cdot\left(3^2\right)^{10}\cdot\left(3^3\right)^2\)
\(=3^{20}\cdot3^{20}\cdot3^6\)
\(=3^{46}\)
c) \(3^{10}\cdot7^{10}\)
\(=\left(3\cdot7\right)^{10}\)
\(=21^{10}\)
d) \(6^{15}:6^{14}\)
\(=6^{15-14}\)
\(=6\)
e) \(28^3:7^3\)
\(=4^3\cdot7^3:7^3\)
\(=4^3\)
\(=2^6\)
27 mũ 4k : 3 mũ 4k - 32 mũ 12n : 16 mũ 12n
Toán lớp 6 Lũy thừa
27 4 k : 3 4 k - 32 12n : 1616n
= ( 3 3 ) 4 k : 3 4 k - ( 2 5 ) 12n : ( 2 4 ) 12n
= 3 12 k : 3 4 k - 2 60n : 2 48n
= 3 8 k - 2 12n
nhé bạn !
27 4 k : 3 4 k - 32 12n : 1616n
= ( 3 3 ) 4 k : 3 4 k - ( 2 5 ) 12n : ( 2 4 ) 12n
= 3 12 k : 3 4 k - 2 60n : 2 48n
= 3 8 k - 2 12n