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a: \(A=\left(2^3\right)^2\cdot\left(2^5\right)^4=2^6\cdot2^{20}=2^{26}\)
b: \(=\left(3^3\right)^3\cdot\left(3^2\right)^4\cdot3^5=3^9\cdot3^8\cdot3^5=3^{22}\)
\(A=8^2.32^4=\left(2^3\right)^2.\left(2^5\right)^4=2^6.2^{20}=2^{26}\)
\(B=27^3.9^4.243=\left(3^3\right)^3.\left(3^2\right)^4.3^5=3^9.3^8.3^5=3^{22}\)
a: \(A=8^2\cdot32^4=2^6\cdot2^{20}=2^{26}\)
b: \(B=27^3\cdot9^4\cdot243=3^9\cdot3^8\cdot3^5=3^{22}\)
a, 273 : 35 = ( 33)3 : 35 = 39 : 35 = 34
b, 72 . 343 . 4930 = 72. 73.(72)3 = 711
c, 625 : 53 = 54 : 53 = 5
d, 1 000 000 : 103 = 106 . 103 = 103
e, 115 : 121= 115 : 112 = 113
f, 87 : 64 :8 = 87 : 82 : 81 = 84
i, 1024 . 16 : 26 = 210 . 23 : 26 = 27
\(A=8^2.32^4=2^6.2^{20}=2^{26}\)
\(\Rightarrow2^{26}\)
\(B=27^3.9^4.243=3^9.3^8.3^5=3^{22}\)
\(\Rightarrow3^{22}\)
TL
a . x ∈ ∅ b . x=-10, x=-5177/5000, x=-10173/10000.
HT
a) \(\left(-5\right)\left(-5\right)\left(-5\right)\left(-5\right)\left(-5\right)=\left(-5\right)^5\)
b)\(\left(-2\right)\left(-2\right)\left(-2\right)\left(-3\right)\left(-3\right)\left(+3\right)=\left(-2\right)^3\cdot\left(-3\right)^2\cdot3=\left(-2\right)^3\cdot3^3\)
c) \(\left(-7\right)\cdot7\cdot5\cdot\left(-5\right)\left(-5\right)=\left(-7^2\right)\cdot\left(-5\right)^3\)
d) \(\left(-8\right)\left(-3\right)3\cdot125=\left(-2^3\right)\cdot\left(-3^2\right)\cdot5^3\)
e) \(27\cdot\left(-2\right)3\left(-7\right)\cdot49=3^4\cdot\left(-2\right)\cdot\left(-7^3\right)\)
a: \(\left(-5\right)\cdot\left(-5\right)\cdot\left(-5\right)\cdot\left(-5\right)\cdot\left(-5\right)=\left(-5\right)^5\)
b: \(\left(-2\right)\cdot\left(-2\right)\cdot\left(-2\right)\cdot\left(-3\right)\cdot\left(-3\right)\cdot\left(+3\right)=\left(-2\right)^3\cdot3^3\)
42.83 = (22)2.(23)3 = 24.29 = 213
93.272 = (32)3.(33)2 = 36.36 = 312
82.253 = (23)2.(52)3 = 26.56 = (2.5)6 = 106
a. \(\left(-8\right).\left(-3\right)^3.125=\left(-2\right)^3.\left(-3\right)^3.5^3=\left[\left(-2\right).\left(-3\right).5\right]^3=30^3\)
b. \(27.\left(-2\right)^3.\left(-7\right).49=3^3.\left(-2\right)^3.\left(-7\right)^3=\left[3.\left(-2\right).\left(-7\right)\right]^3=42^3\)
a)=(-2)3.(-3)3.53
=[(-2)(-3)5]2
=303
b)=33.(-2)3.(-7)(-7)2
=33.(-2)3.(-7)3
=[3(-2)(-7)]3
=423