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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, \(x^1\).\(x^2\).\(x^3\)....\(x^{100}\)
= \(x^{1+2+3+...+100}\)
= \(x^{\left(1+100\right).100:2}\)
= \(x^{5050}\)
a,4^16
60^15
x^5050
tich cho minh
pheaeeeeeeeeeeeeeeeeeeeeeeeeeeee
a. 73
b. 7.35.7.25 = 7 . 5 . 7 . 7 . 5 . 5 = 73 . 53
c. 2.3.8.12.24 = 2.3.2.2.2.2.2.3.2.2.2.3 = 29 . 33
d. 12.12.2.12.6 = 3.2.2.3.2.2.2.3.2.2.2.3 = 34 . 29
e. 25.5.4.2.10 = 5.5.5.2.2.2.5.2 = 54 . 24
f. 2.10.10.3.5.10 = 2.2.5.2.5.3.5.2.5 = 24 . 54 . 3
g. a.a.a+b.b.b.b = a3 + b3
h. x.x.y.y.x.y.x = x4 . y3
a.\(7^3\)
b.\(7^3\cdot5^3\)
c.\(2^9\cdot3^3\)
d.\(2^8\cdot3^4\)
e.\(2^4\cdot5^4\)
f.\(2^4\cdot3\cdot5^4\)
g.\(a^3+b^4\)
h.\(x^4\cdot y^3\)
\(1,2^3.2^2.4^3=2^3.2^2.\left(2^2\right)^3=2^3.2^2.2^6=2^{3+2+6}=2^{11}\)
\(2,3^5.9^6.27^0=3^5.\left(3^2\right)^6.1=3^5.3^{12}=3^{5+12}=3^{17}\)
\(3,48.4^5.64^8\div3=48\div3.4^5.\left(4^3\right)^8=4^2.4^5.4^{24}=4^{2+5+24}=4^{31}\)
a) \(8^5.8^2=8^7=\left(2^3\right)^7=2^{21}\)
b) \(2^7.5^7=10^7\)
c) \(9^2.2^2=18^2\)
d) \(\left(15+5\right)^2.\left(5+5\right)=20^2.10=4000=\sqrt{4000}^2\)
a) 85 . 82 = 85+2 = 87 = (23)7 = 221
b) 27 . 57 = (2 . 5)7 = 257 = (52)7 = 514
c) 92 . 22 = (9 . 2)2 = 182
d) (15 + 5)2 . (5 + 5) = 202 . 10