Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
bài 11
\(6.6.6.6=6^4\) '\(b.5.15.15.15.3=15.15.15.15=15^4\)
\(c.81.3.3.3=3^4.3^3=3^7\)
bài 12.
\(a.765.5=153.5^2\)
\(b.837.7.7=93.21^2\)
\(c.568.8.2.4=71.8.2^6=71.2^9\)
512 x 7-511 x 10=511 x (5x7-10)
= 511 x 25
= 511 x 52
= 513
8=2^3 ; 20=20^1 ; 60=60^1 ; 90=90^1
16=2^4 ; 27=3^3 ; 81=3^4 ; 100=10^2
a, 48.84
= (22)8.(23)4
= 216.212
= 228
b, 415.515
= (4.5)15
= 2015
c, 210.15 + 210.85
= 210.(15 + 85)
= 210.100
=210.(2.5)2
= 212.52
d, 33.92
= 33 . (32)2
= 33.34
= 37
e, 512.7 - 511.10
= 511.(5.7 - 10)
= 511.25
=511.52
=513
f, \(x^1\).\(x^2\).\(x^3\)....\(x^{100}\)
= \(x^{1+2+3+...+100}\)
= \(x^{\left(1+100\right).100:2}\)
= \(x^{5050}\)
l) 27^8=(33)8=324
=>278:322=324:322
=324-22=32
m) 8^4=(23)4=212
45=(22)5=210
=>84:45=212:210
=212-10=22
a) \(27^8:3^{22}\)
\(=\left(3^3\right)^8:3^{22}\)
\(=3^{24}:3^{22}=3^{24-22}\)
\(=3^2\)
b) \(8^4:4^5\)
\(=\left(2^3\right)^4:\left(2^2\right)^5\)
\(=2^{12}:2^{10}=2^{12-10}=2^2\)
1) 3 . 3 . 9 . 33 = 3 . 3 .3 . 3. 3 . 11 = 35 . 11
2) 100 . 10 . 10 . 5 . 2 = 10 . 10 . 10 . 10 . 10 = 105
3) 3 . 3 . 7 . 21 = 3 . 3 . 3 .7 . 7 = 33 . 72
4) 5 . 2 . 5 . 5 . 2 . 5 . 2 . 2 . 2 . 5 = 55 . 25
5) a . a . b . a . b = a3 . b2
a)33 . 92
= 33 . 34
=33+4
=37
b) 512.7-511.10
= 512.7 - 512.2
= 512.(7-2)
= 512.5
=513
c) x1.x2.x3...x100
= x(100+1).100:2
= x5050
5^12*7-5^11*10
=5^12*7-5^11*(5.2)
=5^12*7-5^12*2
=5^12*(7-2)
=5^12*5
=5^13
\(5^{12}.7-5^{11}.10=5^{11}.\left(5.7-10\right)=5^{11}.25=5^{11}.5^2=5^{13}\)