a/

\(9.3^2.\frac{1}{81}.27=\frac{9.3^2.27}{81}=\frac{3^2.3^2.3^3}{3^4}=\frac{3^7}{3^4}=3^3\)

b/

\(4.32:\left(2^3.\frac{1}{16}\right)=4.32:\left(\frac{2^3}{16}\right)=4.32:\left(\frac{2^3}{2^4}\right)=4.32:\frac{1}{2}=4.32.2=4.64=4.4^3=4^4\)

c/

\(3^4.3^5:\frac{1}{27}=3^4.3^5.27=3^4.3^5.3^3=3^{12}\)

d/(ý bạn là (-2)^2 hay -2^2 , mình làm theo cách (-2)^2 nhé!)

\(2^2.4.\frac{32}{\left(-2\right)^2}.2^5=2^2.2^2.\frac{2^5}{2^2}.2^5=2^2.2^2.2^3.2^5=2^{12}\)

giúp minh vớ các bạn

thanks bạn thao minh donna

Lời giải:

a. 

$=5^{6-3}+2^{3-2}=5^3+2^1=125+2=127$
b.

$=3333:3+225:15=1111+15=1126$

c.

$=15.2^3+4.3^2-5.7=15.8+4.9-35=120+36-35=120+1=121$

d.

$=5.4^2-18:3^2=5.16-18:9=80-2=78$

e.

$=6^2:4.3+2.5^3=36:4.3+2.125$

$=9.3+250=27+250=277$

f.

$=80-(4.25-3.8)=80-(100-24)=80-100+24=-20+24=4$

\(\frac{\left(3^4.3^3\right)^3}{27^3}=\frac{\left(3^7\right)^3}{27^3}=\frac{3^{21}}{\left(3^3\right)^3}=\frac{3^{21}}{3^9}=3^{21-9}=3^{12}=531441\) không chia hết cho 2 vì chữ số tận cùng là 1 

a)= 2021.2021-2020.(2021+1)
  = 2021.(2020+1)-2020.(2021+1)
  = (2021.2020)+2021-(2020.2021)-2020
  = 1

b) B= (1+2-3-4)+(5+6-7-8)+(9+10-11-12)...........+(2017+2018-2019-2020)+2021
    B= -4+(-4)+....................(-4)+2021
    B= -4x505+2021
    B= -2020 + 2021
    B = 1

1:

\(\Leftrightarrow4\cdot3^x\cdot\dfrac{1}{9}+2\cdot3^x\cdot3=4\cdot3^4+2\cdot3^7\)

\(\Leftrightarrow3^x\cdot\left(\dfrac{4}{9}+6\right)=3^4\cdot\left(4+2\cdot3^3\right)\)

\(\Leftrightarrow3^x=729\)

hay x=6

2: \(\Leftrightarrow3^x\cdot4\cdot\dfrac{1}{3}+3^x\cdot2\cdot9=4\cdot3^6+2\cdot3^9\)

\(\Leftrightarrow3^x\cdot\dfrac{58}{3}=42282\)

=>3^x=2187

hay x=7