\(=\left[3^{22}. 3^5+2.3^{27}\right]:3^{26}\)

\(=\left[3^{27}+2.3^{27}\right]:3^{26}\)

\(=\left[3^{27}.\left(1+2\right)\right]:3^{26}\)

\(=\left[3^{27}.3\right]:3^{26}\)

\(=3^{28}:3^{26}\)

\(=3^2\)

Tl:

[ 3²² . ( 3⁸ : 3³ ) + 2.3²⁷ ] :3²⁶

= [ 3²² . 3⁵ + 2.3²⁷ ] : 3²⁶

= [ 3²⁷ . 2.3²⁷ ] : 3²⁶

= [ 3²⁷ . ( 1 + 2 ) ] :3²⁶

= [ 3²⁷ . 3 ] : 3²⁶

= 3²⁸ : 3²⁶

=>3² = 9

\(\left[3^{22}\cdot\left(3^8:3^3\right)+2\cdot3^{27}\right]:3^{26}\\ =\left(3^{22}\cdot3^5+2\cdot3^{27}\right):3^{26}\\ =3^{27}\left(1+2\right):3^{26}\\ =3^{27}\cdot3:3^{26}\\ =3^2=9\)

\(\left[3^{22}.\left(3^8:3^3\right)+2.3^{27}\right]\):\(3^{26}\)

=\(\left(3^{22}.3^5+2.3^{27}\right):3^{26}\)

=(\(3^{27}\)+2.\(3^{27}\)):\(3^{26}\)

=\(3^{27}\).(1+2):\(3^{26}\)

=\(3^{28}:3^{26}=3^2\)=9

Ta có :\(\frac{3^2.3^8}{27^3}=3^x\)

\(\Rightarrow\frac{3^{10}}{\left(3^3\right)^3}=3^x\)

\(\Rightarrow\frac{3^{10}}{3^9}=3^x\)

\(\Rightarrow3^1=3^x\)

\(\Rightarrow x=1\)

Vậy \(x=1\)

\(\frac{3^2.3^8}{27^3}\)=\(\frac{3^{10}}{27^3}\)=\(\frac{3^{10}}{\left(3^3\right)^3}\)=\(\frac{3^{10}}{3^9}\)=3

Mà \(\frac{3^2.3^8}{27^3}\)=3^x

\(\Rightarrow\)3=3^x

\(\Rightarrow\)x=1

Vậy x=1.

\(\frac{3^2.3^8}{27^3}=3^x\)

\(\Leftrightarrow\frac{3^{2+8}}{\left(3^3\right)^3}=3^x\)

\(\Leftrightarrow\frac{3^{10}}{3^9}=3^x\)

\(\Leftrightarrow3=3^x\)

\(\Leftrightarrow x=1\)

           \(\frac{3^2.3^8}{27^3}=3^x\)

<=>    \(\frac{3^{10}}{3^9}=3^x\)

<=>     \(3=3^x\)

<=>      x=1

\(\frac{3^2\cdot3^8}{27^3}=3^x\)

\(\Leftrightarrow3^2\cdot3^8=27^3\cdot3^x\)

\(\Leftrightarrow3^{10}=\left(3^3\right)^3\cdot3^x\)

\(\Leftrightarrow3^{10}=3^9\cdot3^x\)

\(\Leftrightarrow3^{10}=3^{9+x}\)

\(\Rightarrow10=9+x\)

\(\Leftrightarrow x=1\)

\(\frac{3^2.3^8}{37^3}=3^x\)

\(\Rightarrow\frac{3^{10}}{\left(3^3\right)^3}=3^x\Rightarrow\frac{3^{10}}{3^9}=3^x\Rightarrow3^1=3^x\Rightarrow x=1\)

2/3 + 3/4=17/12
9/4 + 3/5=57/20
5/24 + 1/4=11/24
3/15 - 5/35=2/35        18/27 - 2/6=1/3        37/12 - 3=1/12
11/9 x 3/22=1/6         7/13 x 13/7=1       4 x6/7=24/7
2/5 : 3/10=4/3           3/8 : 9/4=1/6            8/21 : 4/7=2/3

2/3 + 3/4

= 17/12
9/4 + 3/5

= 57/20
5/24 + 1/4

=11/24
3/15 - 5/35   

=2/35   

18/27 - 2/6   

=1/3   

37/12 - 3

= 1/12
11/9 x 3/22 

=1/6       

7/13 x 13/7 

=1   

 4 x6/7

=24/7
2/5 : 3/10

=4/3         

 3/8 : 9/4   

=1/6       

8/21 : 4/7

= 2/3

1=17/12
2=57/20
3=11/24
4=2/35        7=1/3        10=1/12
5=1/6         8=1       11=24/7

6=4/3           9=1/6            12=2/3

\(\frac{3^2.3^8}{\left(3^3\right)^3}=3^x\frac{3^{10}}{3^9}=3^x3^{10-9}=3^x3^x=3x=1\)

\(\Rightarrow\frac{3^2.3^8}{3.3^8}=3^x\Rightarrow3=3^x\Rightarrow x=1\)

\(\dfrac{3^2.3^8}{27^3}\)

\(=\dfrac{3^2.3^8}{\left(3^3\right)^3}\)

\(=\dfrac{3^2.3^8}{3^9}\)

\(=\dfrac{3^{10}}{3^9}\)

\(=3^1=3\)

\(3=3x\)

\(x=3:3\)

\(x=1\)

\(\frac{11.3^{22}.3^7-9^{15}}{2^2.3^{28}}=\frac{11.3^{29}}{2^2.3^{28}}-\frac{3^{30}}{2^2.3^{28}}=\frac{11.3}{4}-\frac{9}{4}=\frac{33-9}{4}=\frac{24}{4}=6\)

\(\frac{27^5.8^2-9^7.4^3}{2^6.9^6}=\frac{3^{15}.2^6}{2^6.3^{12}}-\frac{3^{14}.2^6}{2^6.3^{12}}=27-9=18\)

~ Học tốt ~