MA0001/Exercise 3/tasks/1.tex

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\renewcommand{\labelenumii}{\arabic{enumii}.}
\begin{enumerate}
\item \[ 100^{-\frac{1}{2}} = \frac{1}{100^\frac{1}{2}} = \frac{1}{\sqrt{100}} = \frac{1}{10} \]
\item \[2^{log_2\left(2020\right)} = 2020\]
\item \[ sin(-2020\pi) \rightarrow -2020 \bmod 1 = 0 \Leftrightarrow sin(-2020\pi) = 0\]
\item \[\sqrt{y^2} = \pm y \]
\item \[\left(\sqrt{y}\right)^2 = \left(y^{\frac{1}{2}}\right)^2 = y^\frac{1}{2} \cdot y^\frac{1}{2} = y^\frac{2}{2} = \sqrt{y^2} = \pm y \]
\end{enumerate}