remember rules of exponents
\(x^{ \frac{z}{y} } = \sqrt[y]{x^{z}}\)
combine because another rule is
√x times √y=√(xy) so
if we can make the denomenator of all fractions the same, then we can have a common root so
2 3 and 4
common number is 12 so
convert bottom number to 12 so
1/2=6/12
2/3=8/12
3/4=9/12
so the equation is
\(3^{ \frac{6}{12} }\) times \(a^{ \frac{8}{12} }\) times \(b^{ \frac{9}{12} }\)
this equals
\(\sqrt[12]{3^{6}}\) times \(\sqrt[12]{a^{8}}\) times \(\sqrt[12]{b^{9}}\)
since we can combine we get
\(\sqrt[12]{ 3^{6} a^{8} b^{9} }\)
