4:
Độ dài cạnh của miếng bìa là
\(\sqrt{64}=8\left(cm\right)\)
3:
a: \(\dfrac{2}{3}+x=\dfrac{3}{5}\)
=>\(x=\dfrac{3}{5}-\dfrac{2}{3}\)
=>\(x=\dfrac{9-10}{15}=-\dfrac{1}{15}\)
b: 6^x:2^x+1=162
=>\(\dfrac{2^x\cdot3^x}{2^x\cdot2}=162\)
=>\(\dfrac{3^x}{2}=162\)
=>\(3^x=324\)
=>\(x=log_3324\)
2:
a: \(\dfrac{17}{25}+\dfrac{2}{35}-\dfrac{42}{25}+\dfrac{33}{35}\)
\(=\dfrac{2}{35}+\dfrac{33}{35}+\dfrac{17}{25}-\dfrac{42}{25}\)
=1-1
=0
b: \(\dfrac{11}{2}\cdot3\dfrac{2}{5}-1\dfrac{2}{5}\cdot\dfrac{11}{2}\)
\(=\dfrac{11}{2}\left(3+\dfrac{2}{5}-1-\dfrac{2}{5}\right)\)
\(=\dfrac{11}{2}\cdot2=11\)
