# Given these power facts, can we show $z^6=cx$? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource
If $x = ay^{\frac{3}{4}}$ and $z = b \sqrt{(y/x)}$, prove that $z^6 = cx$, where $c$ is independent of $x$, $y$ and $z$, stating the value of $c$ in terms of $a$ and $b$.