Question

$(sqrt[3]{7a}^{2})^{6}/{a^{4}}$ 

Answer 1

$frac{(sqrt[3]{7a}^{2})^{6}}{a^{4}}=frac{(7^frac{2}{3}a^frac{2}{3})^{6}}{a^{4}}=frac{(7^frac{2}{3})^6(a^frac{2}{3})^{6}}{a^{4}}=frac{7^4a^4}{a^{4}}=7^4=2401$

Answer 2

$frac{(sqrt[3]{7a^2})^6}{a^4}=frac{(7a^2)^{6:3}}{a^4}=frac{(7a^2)^2}{a^4}=frac{7^2a^{2*2}}{a^4}=frac{49a^4}{a^4}=49$