1.
a) \(\left(\dfrac{1}{3}\right)^4.\left(\dfrac{1}{3}\right)^2=\left(\dfrac{1}{3}\right)^6\)
b) \(18^7:6^7=3^7\)
c) \(\left(\dfrac{2}{5}\right)^7:\left(\dfrac{2}{5}\right)^4=\left(\dfrac{2}{5}\right)^3\)
d) \(4^4.\left(1,5\right)^4=6^4\)
2.
a) \(\left|x\right|=\dfrac{1}{2}\\ \Rightarrow\left[{}\begin{matrix}x=-\dfrac{1}{2}\\x=\dfrac{1}{2}\end{matrix}\right.\)
b) Áp dụng tính chất dãy tỉ số bằng nhau ta có:
\(\dfrac{x}{7}=\dfrac{y}{2}=\dfrac{x-y}{7-2}=\dfrac{20}{5}=4\)
\(\dfrac{x}{7}=4\Rightarrow x=28\\ \dfrac{y}{2}=4\Rightarrow y=8\)