$$\Bigg(\frac{x}{y}\Bigg)^a=\frac{x^a}{x^b}$$

Bruk regelen til å løse oppgavene

Oppgave 1

  • \begin{align}
    \Big(\frac{x^2}{y^3}\Big)^2
    &=\frac{(x^2)^2}{(y^3)^2}\\
    &=\frac{x^4}{y^6}
    \end{align}

  • \begin{align}
    \Big(\frac{a^4}{b^3}\Big)^2
    &=\frac{(a^4)^2}{(b^3)^2}\\
    &=\frac{a^8}{b^6}
    \end{align}

  • \begin{align}
    \Big(\frac{x^{-2}}{y^3}\Big)^2
    &=\frac{(x^{-2})^2}{(y^3)^2}\\
    &=\frac{x^{-4}}{y^6}\\
    &=\frac{1}{x^4y^6}
    \end{align}