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\(8^2.32^4=2^{2.3}.2^{5.4}=2^6.2^{20}=2^{26}\)
\(64^3.256^2=2^{6.3}.2^{8.2}=2^{18}.2^{16}=2^{34}\)
72 - 7 . ( 13 . x ) =14
=> 49 - 7.( 13.x) = 14
=> 7.(13.x) = 49 -14 = 35
=> 13.x = 35 : 7 = 5
=> x = 5 : 13
=> x = 5/13
9 x 55 : ( 57 : 54 ) + 23 x 5
= 9 x 55 : 53 + 8 x 5
= 9 x 52 + 40
= 225+40
= 265
Bài 1:
a) \(8^5\cdot8^2=8^7\)
b) \(9^3\cdot3^2=\left(3^2\right)^3\cdot3^2=3^6\cdot3^2=3^8\)
c) \(2^7\cdot5^7=10^7\)
d) \(27^6:3^3=\left(3^3\right)^6:3^3=3^{18}:3^3=3^{15}\)
Bài 2:
a) \(x^6:x^3=125\)
\(\Rightarrow x^3=125\)
\(\Rightarrow x=5\)
b) \(x^{20}=x\)
\(\Rightarrow x^{20}-x=0\)
\(\Rightarrow x\left(x^{19}-1\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}x=0\\x^{19}-1=0\Rightarrow x=1\end{matrix}\right.\)
c) \(3^x\cdot3=243\)
\(\Rightarrow3^x=81\)
\(\Rightarrow x=4\)
d) \(2x-138=2^3\cdot3^2\)
\(\Rightarrow2x-138=72\)
\(\Rightarrow2x=200\)
\(\Rightarrow x=100\)
Giải:
Bài 1:
a) \(8^5.8^2=8^{5+2}=8^7\)
b) \(9^3.3^2=3^6.3^2=3^{6+2}=3^8\)
c) \(2^7.5^7=\left(2.5\right)^7=10^7\)
d) \(27^6:3^3=3^{18}:3^3=3^{18-3}=3^{15}\)
Bài 2:
a) \(x^6:x^3=x^{6-3}=x^3=125\)
\(\Leftrightarrow x=5\)
b) \(x^{20}=x\)
\(\Leftrightarrow\left[{}\begin{matrix}x=0\\x=-1\\x=1\end{matrix}\right.\)
c) \(3^x.3=243\)
\(\Leftrightarrow3^{x+1}=243\)
\(\Leftrightarrow3^{x+1}=3^5\)
\(\Leftrightarrow x+1=5\Leftrightarrow x=4\)
d) \(2.x-138=2^3.3^2\)
\(\Leftrightarrow2.x-138=8.9\)
\(\Leftrightarrow2.x-138=72\)
\(\Leftrightarrow2.x=72+138\)
\(\Leftrightarrow2.x=210\Leftrightarrow x=105\)
Chúc bạn học tốt!
a. 2x . 7 = 56
2x = 56 : 7
2x = 8
\(\Rightarrow\)23 = 8
Vậy x = 8
câu 1 : điền dấu > , < , = thích hợp
\(a,0>\left(-25\right).\left(-19\right).\left(-1\right)^{2n}\)
\(b,\left(-3\right)^4.\left(-19\right)^2=3^4.19^2.\left(-1\right)^{100}\)
\(c,\left(-2006\right).9\left(-2007\right)>\left(-2008\right).2009\)
câu 2 : sắp xếp các số theo thứ tự tăng dần
- 37 ; 25 ; 0 ; dấu giá trị tuyệt đối nha / -18 / ; _ (-19 ) ; _ / - 39 / ; _ ( + 151 )
Có : \(-37;25;0;18;19;-39;-151\)
Thứ tự tăng dần : \(-151;-39;-37;25;19;18;0\)
câu 3 tính
\(\text{a ) -8 + 19}=11\)
\(\text{b ) ( -27 ) : ( -3 )}=9\)
c )\(4-\left(-13\right)=17\)
d )\(\text{ - 9 -13 -( -24 ) + 11=13}\)
\(e,323-6\left[3-7.\left(-9\right)\right]=-73\)
\(f,\left(-3\right)^5.\left(-3\right)^3-9\)\(=6552\)
\(g,9-8.16-13.8\)
\(=9-8.\left(16-13\right)\)
\(=9-8.4\)
\(=9-32\)
\(=-23\)
\(h,\left(-3\right)^2+\left\{-54:\left[\left(-2\right)^3+7.|-2|\right].\left(-2\right)^2\right\}\)
\(=9+\left\{-54:\left[\left(-8\right)+7.2\right].4\right\}\)
\(=9+\left\{-54:\left[\left(-8\right)+14\right].4\right\}\)
\(=9+\left\{-54:6.4\right\}\)
\(=9+\left\{-7.4\right\}\)
\(=9+\left(-28\right)\)
\(=-19\)
học tốt
\(27^3.9^4.243=3^{3.3}.3^{2.4}.3^5\)
\(3^9.3^8.3^5=3^{22}\)
\(25^3.125^2=5^{2.3}.5^{3.2}=5^6.5^6=5^{12}\)