\begin{deloppgaver}

  \delo
    \begin{alignat*}{4}
      & 1^{-1}      &&+ 2^{-1}      &&+ 3^{-1}      \\[1ex]
      & \frac{1}{1} &&+ \frac{1}{2} &&+ \frac{1}{3} \\[2ex]
      & \frac{6}{6} &&+ \frac{3}{6} &&+ \frac{2}{6} & \qquad \text{Største felles divisor er 6} \\[2ex]
      & \frac{11}{6} \\
    \end{alignat*}

  \delo
    \begin{align*}
      & x^{-7} x^{6} \\
      & x^{-7+6} \\
      & x^{-1} \\
      & \frac{1}{x} 
    \end{align*}

  \delo
    \begin{align*}
      & \frac{ \left ( x^2 y z^3 \right )^2 }{ x^4 y^3 z^5 } \\[2ex]
      & \frac{ x^4 y^2 z^6  }{ x^4 y^3 z^5 } \\[2ex]
      & x^{4-4} y^{2-3} z^{6-5} \\
      & x^0 y^{-1} z^1 \\[2ex]
      & \frac{z}{y} \\
    \end{align*}

  \delo
    \begin{align*}
      & \frac{ e^{z-x} }{ e^x e^z} \\[2ex]
      & \frac{ \cancel{e^z} }{ e^{x+x} \cancel{e^z} } \\[2ex]
      & \frac{1}{e^{2x}} \\[2ex]
      & e^{-2x}
    \end{align*}

  \delo
    \begin{align*}
      & \frac{ z^2 - y^2 }{ z+y } \\[2ex]
      & \frac{ (z+y)(z-y) }{ z+y } && \text{3. Kvadratsetning} \\[2ex]
      & \frac{ \cancel{(z+y)}(z-y) }{ \cancel{z+y} } \\[2ex]
      & z-y
    \end{align*}
  
\end{deloppgaver}