Question

Answer 1

a) Ta có: \(\left(-2\right)^3\cdot\left(\dfrac{3}{4}-0.25\right):\left(2\dfrac{1}{4}-1\dfrac{1}{6}\right)\)

\(=\left(-8\right)\cdot\dfrac{1}{2}:\left(\dfrac{9}{4}-\dfrac{7}{6}\right)\)

\(=-4:\left(\dfrac{54}{24}-\dfrac{28}{24}\right)\)

\(=-4:\dfrac{26}{24}\)

\(=-4\cdot\dfrac{12}{13}=\dfrac{-48}{13}\)

b) Ta có: \(\dfrac{\left(3\cdot8\right)^3\cdot5}{2^9\cdot15^2}\)

\(=\dfrac{3^3\cdot2^9\cdot5}{2^9\cdot3^2\cdot5^2}\)

\(=\dfrac{3}{5}\)

c) Ta có: \(\sqrt{0.04}\cdot5-\sqrt{\left(0.5\right)^2}:\sqrt{\dfrac{1}{4}}\)

\(=0.2\cdot5-0.5:0.5\)

=1-1

=0