1.
simle
properties of exponents
\((xy)^m=(x^m)(y^m)\)
and
\((x^m)(x^n)=x^{m+n}\)
and
\(x^ \frac{m}{n}= \sqrt[n]{x^m}\)
first split it up
\((6h)^ \frac{2}{3}(2h)^2\)=
\((6^\frac{2}{3})(h^\frac{2}{3})(2^2)(h^2)\)=
\((\sqrt[3]{h^2})(h^2)(4)(\sqrt[3]{6^2})\)=
\((\sqrt[3]{h^2})(h^2)(4)(\sqrt[3]{36})\)
\((\sqrt[3]{h^2})(\sqrt[3]{36})(h^2)(4)\)
\((\sqrt[3]{36h^2})(4h^2)\)=
\(4h^2\sqrt[3]{36h^2}\)
1/2 and 4/7 and 5/9
279=126
1/2 times 63/63=63/126
4/7 times 18/18=72/126
5/9 times 14/14=70/126
acending
63/126<72/126<70/126
1/2<5/9<4/7
answer is D
