b) \(\left(\dfrac{-1}{7}\right)^5\cdot\left(-7\right)^5-2022^0\)
\(=\left(-\dfrac{1}{7}\cdot-7\right)^5-1\)
\(=\left(\dfrac{7}{7}\right)^5-1\)
\(=1^5-1\)
\(=1-1\)
\(=0\)
b) \(\dfrac{1}{2023}\cdot\dfrac{-6}{7}+\dfrac{2022}{2023}\cdot\dfrac{-6}{7}+\dfrac{6}{7}\)
\(=\dfrac{-6}{7}\cdot\left(\dfrac{1}{2023}+\dfrac{2022}{2023}-1\right)\)
\(=\dfrac{-6}{7}\cdot\left(\dfrac{2023}{2023}-1\right)\)
\(=\dfrac{-6}{7}\cdot\left(1-1\right)\)
\(=\dfrac{-6}{7}\cdot0\)
\(=0\)
d) \(3\cdot\sqrt{\dfrac{1}{9}}+3\cdot\left(\sqrt{0,01}\right)^2\)
\(=3\cdot\sqrt{\left(\dfrac{1}{3}\right)^2}+3\cdot0,01\)
\(=3\cdot\dfrac{1}{3}+3\cdot0,01\)
\(=\dfrac{3}{3}+0,03\)
\(=1+0,03\)
\(=1,03\)
