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!

-x/3=3/y²=(z+3)³/-4=||t|-2|/8=27/4

=>x=-27x3/4=-81/4; y²=12/27=4/9; (z+3)³=-27; ||t|-2|=54

=>x=-81/4; \(y\in\left\{\dfrac{2}{3};-\dfrac{2}{3}\right\}\); z+3=-3; |t|-2=54

=>x=-81/4; \(y\in\left\{\dfrac{2}{3};-\dfrac{2}{3}\right\}\); z=-6; \(t\in\left\{56;-56\right\}\)

1/ Tính hợp lí:

\(\text{a/ ( - 16 ). ( - 25 ). ( - 12)}\)

\(=400.\left(-12\right)\)

\(=-4800\)

1)

a)\(x+\dfrac{3}{22}=\dfrac{27}{121}.\dfrac{11}{9}\)

\(x+\dfrac{3}{22}=\dfrac{3}{11}\)

\(x=\dfrac{6}{22}-\dfrac{3}{22}\)

\(x=\dfrac{3}{22}\)

3 mũ 4-x=81 là viết như này hả bn

\(3^{4-x}=81\) hay viết như này \(3^4-x=81\)

cai thu nhat

Bài 3: 

a: =>|x+7|=12-12=0

=>x+7=0

hay x=-7

b: =>|x-3|=4

=>x-3=4 hoặc x-3=-4

=>x=7 hoặc x=-1

c: =>x-5<=0

hay x<=5

Bài 3: 

a: =>|x+7|=0

=>x+7=0

hay x=-7

b: =>|x-3|=4

=>x-3=4 hoặc x-3=-4

=>x=7 hoặc x=-1

c: =>x-5<=0

hay x<=5