\(x\cdot2^2=2^7\)

\(\Rightarrow x=\dfrac{2^7}{2^2}\)

\(\Rightarrow x=2^{7-2}\)

\(\Rightarrow x=2^5\)

\(\Rightarrow x=32\)

\(\left(3x-2\right)^3=64\)

\(\Rightarrow\left(3x-2\right)^3=4^3\)

\(\Rightarrow3x-2=4\)

\(\Rightarrow3x=4+2\)

\(\Rightarrow3x=6\)

\(\Rightarrow x=\dfrac{6}{3}\)

\(\Rightarrow x=2\)

\(\left(2x+5\right)^4=3^4\cdot5^4\)

\(\Rightarrow\left(2x+5\right)^4=\left(3\cdot5\right)^4\)

\(\Rightarrow\left(2x+5\right)^4=15^4\)

TH1: \(2x+5=15\)

\(\Rightarrow2x=15-5\)

\(\Rightarrow2x=10\)

\(\Rightarrow x=\dfrac{10}{2}\)

\(\Rightarrow x=5\)

TH2: \(2x+5=-15\)

\(\Rightarrow2x=-15-5\)

\(\Rightarrow2x=-20\)

\(\Rightarrow x=-\dfrac{20}{2}\)

\(\Rightarrow x=-10\) 

\(\left(3x+2\right)^3=11\cdot121\)

\(\Rightarrow\left(3x+2\right)^3=11^3\)

\(\Rightarrow3x+2=11\)

\(\Rightarrow3x=11-2\)

\(\Rightarrow3x=9\)

\(\Rightarrow x=\dfrac{9}{3}\)

\(\Rightarrow x=3\)

\(\dfrac{3}{5}\times\dfrac{4}{7}\times1\dfrac{1}{2}\)

\(=\dfrac{3}{5}\times\dfrac{4}{7}\times\dfrac{3}{2}\)

\(=\dfrac{3\times4\times3}{5\times7\times2}\)

\(=\dfrac{3\times2\times3}{5\times7}\)

\(=\dfrac{18}{35}\)

a) \(4^3\cdot32^4\)

\(=\left(2^2\right)^3\cdot\left(2^5\right)^4\)

\(=2^6\cdot2^{20}\)

\(=2^{26}\)

b) \(3^{20}\cdot9^{10}\cdot27^2\)

\(=3^{20}\cdot\left(3^2\right)^{10}\cdot\left(3^3\right)^2\)

\(=3^{20}\cdot3^{20}\cdot3^6\)

\(=3^{46}\)

c) \(3^{10}\cdot7^{10}\)

\(=\left(3\cdot7\right)^{10}\)

\(=21^{10}\)

d) \(6^{15}:6^{14}\)

\(=6^{15-14}\)

\(=6\)

e) \(28^3:7^3\)

\(=4^3\cdot7^3:7^3\)

\(=4^3\)

\(=2^6\)

không kéo nhưng em làm có lồng đèn trong trung thu :) 

Em cũng tham gia nữa ạ 

Không biết làm lồng đèn nhưng em cũng tham gia cho vui ạ làm xấu tí