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18 mu 3 chia 9 mu 3 bang 18 mu 3 phan ra bang (9.2) mu 3 bang 9 mu 3 nhan 2 mu 3 9 mu 3 chia cho nhau bang 1 nhan 2 mu 3 =8
b 125 mu 3 = 25 mu 9 chia 25 mu 4 = 25 mu 5
c
Ta có :
\(14^4.4^2.21^5.28^3.18^3\)
\(=\left(7.2\right)^{14}.\left(2^2\right)^2.\left(7.3\right)^5.\left(7.2^2\right)^3.\left(3^2.2\right)^3\)
\(=7^{14}.2^{14}.2^4.7^5.3^5.7^3.2^6.3^6.2^3\)
\(=\left(7^{14}.7^5.7^3\right)\left(2^{14}.2^4.2^6.2^3\right)\left(3^5.3^6\right)\)
\(=7^{22}.2^{27}.3^{11}\)
a: =18x941+18x59
=18(941+59)
=18x1000=18000
b: \(=81:27-16:8=3-2=1\)
c: =30-40+25=-10+25=15
d: =17(85+15)-150=1700-150=1550
e: =-150-180-200=-530
f: =17+15+40=72
Câu 8:
Giải:
Ta có: \(a:b=3:4\Rightarrow\frac{a}{3}=\frac{b}{4}\Rightarrow\frac{a^2}{9}=\frac{b^2}{16}\)
Áp dụng tính chất dãy tỉ số bằng nhau ta có:
\(\frac{a^2}{9}=\frac{b^2}{16}=\frac{a^2+b^2}{9+16}=\frac{36}{25}\)
+) \(\frac{a^2}{9}=\frac{36}{25}\Rightarrow a^2=\frac{324}{25}\Rightarrow a=\pm\frac{18}{5}\)
+) \(\frac{b^2}{16}=\frac{36}{25}\Rightarrow b^2=\frac{576}{25}\Rightarrow b=\pm\frac{24}{5}\)
Vậy bộ số \(\left(x;y\right)\) là \(\left(\frac{18}{5};\frac{24}{5}\right);\left(\frac{-18}{5};\frac{-24}{5}\right)\)
Bg
c) 9 < 3x : 3 < 81
=> 32 < 3x - 1 < 34
=> x - 1 = {2; 3; 4}
=> x = {3; 4; 5}
d) 5x . 5x + 1 . 5 x + 2 < 218 . 518 : 218
=> 5x + x + 1 + x + 2 < 218 : 218 . 518
=> 53x + 3 < 1.518
=> 53.(x + 1) < 518
=> 3.(x + 1) < 18
=> x + 1 < 18 : 3
=> x + 1 < 6
=> x < 6 - 1
=> x < 5
c. \(9\le3^x:3\le81\)
\(\Rightarrow3^2\le3^{x-1}\le3^4\)
\(\Rightarrow3^{x-1}\in\left\{3^2;3^3;3^4\right\}\)
\(\Rightarrow x-1\in\left\{2;3;4\right\}\)
\(\Rightarrow x\in\left\{3;4;5\right\}\)
d. Thêm đk : x thuộc N
\(5^x.5^{x+1}.5^{x+2}\le2^{18}.5^{18}:2^{18}\)
\(\Rightarrow5^{x+x+1+x+2}\le5^{18}\)
\(\Rightarrow x+x+x+1+2\le18\)
\(\Rightarrow3x+3\le18\)
\(\Rightarrow3\left(x+1\right)\le18\)
\(\Rightarrow x+1\le6\)
\(\Rightarrow x\le5\)
\(\Rightarrow x\in\left\{1;2;3;4;5\right\}\)
A 18 vì (-3)2=9;9.2=18
A.18
tick mk nha