Answer
$(b^{5/6})/(49c^{5/3}a^{1/4})$
Work Step by Step
$(\frac{49c^{\frac{5}{3}}}{a^\frac{-1}{4}b^\frac{5}{6}})^{-1}$
$(49c^{5/3})^{-1}/(a^{-1/4}b^{5/6})^{-1}$
$1/(49c^{5/3})/1/(a^{-1/4}b^{5/6})$
$((49c^{5/3})/(49c^{5/3}))*1/(49c^{5/3})/1/(a^{-1/4}b^{5/6})$
$(49c^{5/3})/(49c^{5/3})/(49c^{5/3})/(a^{-1/4}b^{5/6})$
$(a^{-1/4}b^{5/6})/(a^{-1/4}b^{5/6})*(49c^{5/3})/(49c^{5/3})/(49c^{5/3})/(a^{-1/4}b^{5/6})$
$(a^{-1/4}b^{5/6})*(49c^{5/3})/(49c^{5/3})/(a^{-1/4}b^{5/6})*(49c^{5/3})/(a^{-1/4}b^{5/6})$
$(a^{-1/4}b^{5/6})*1/1*(49c^{5/3})$
$(a^{-1/4}b^{5/6})/(49c^{5/3})$
$(b^{5/6}/a^{1/4})/(49c^{5/3})$
$(a^{1/4}/a^{1/4})*(b^{5/6}/a^{1/4})/(49c^{5/3})$
$(b^{5/6}*a^{1/4}/a^{1/4})/(49c^{5/3}a^{1/4})$
$(b^{5/6})/(49c^{5/3}a^{1/4})$
