b. \( 0,8:\left(-\frac{3}{4}\right)^{-2}+\sqrt[3]{-0,008}-0,6= \)
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Let's break it down! First, we calculate \(\left(-\frac{3}{4}\right)^{-2}\). Inverting and squaring gives us \(\frac{16}{9}\). Next, the cube root of \(-0.008\) is \(-0.2\). Now, we put it all together: \(0.8 + \frac{16}{9} - 0.2 - 0.6\). That's \(0.2 + \frac{16}{9}\). Converting \(0.2\) to a fraction gives us \(\frac{2}{10} = \frac{1}{5}\). Making a common denominator with \(\frac{16}{9}\) leads us to \(\frac{1}{5} = \frac{9}{45}\) and fits like a charm! Adding gives \(\frac{73}{45}\), and that's our solution! So, \(0.8:\left(-\frac{3}{4}\right)^{-2}+\sqrt[3]{-0,008}-0,6= \frac{73}{45}\) or approximately \(1.62\). Voilà!
