Use Negative Power Rule: \({x}^{-a}=\frac{1}{{x}^{a}}\).
\[-\frac{1}{{13}^{3}}+{(0,5)}^{-2}\times \frac{3}{4}-\frac{1019}{27}\]
Simplify \({13}^{3}\) to \(2197\).
\[-\frac{1}{2197}+{(0,5)}^{-2}\times \frac{3}{4}-\frac{1019}{27}\]
Use Negative Power Rule: \({x}^{-a}=\frac{1}{{x}^{a}}\).
\[-\frac{1}{2197}+(\frac{1}{0},{5}^{2})\times \frac{3}{4}-\frac{1019}{27}\]
Simplify \({5}^{2}\) to \(25\).
\[-\frac{1}{2197}+(\frac{1}{0},25)\times \frac{3}{4}-\frac{1019}{27}\]
Simplify \(\frac{1}{0}\) to \(\infty \).
\[-\frac{1}{2197}+(\infty ,25)\times \frac{3}{4}-\frac{1019}{27}\]
Simplify \((\infty ,25)\times \frac{3}{4}\) to \(\frac{\infty ,25\times 3}{4}\).
\[-\frac{1}{2197}+\frac{\infty ,25\times 3}{4}-\frac{1019}{27}\]
Simplify \(25\times 3\) to \(75\).
\[-\frac{1}{2197}+\frac{\infty ,75}{4}-\frac{1019}{27}\]
Simplify \(\frac{\infty ,75}{4}\) to \(\infty ,\frac{75}{4}\).
\[-\frac{1}{2197}+(\infty ,\frac{75}{4})-\frac{1019}{27}\]
Collect like terms.
\[(-\frac{1}{2197}-\frac{1019}{27})+\infty ,\frac{75}{4}\]
Simplify \(-\frac{1}{2197}-\frac{1019}{27}\) to \(-\frac{2238770}{59319}\).
\[-\frac{2238770}{59319}+\infty ,\frac{75}{4}\]
Simplify \(-\frac{2238770}{59319}+\infty \) to \(\infty \).
\[\infty ,\frac{75}{4}\]
INF,75/4
