Question

ASAP !

Answer 1

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

2*7*9=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