Answer: ∛(49) / 7
Explanation:
1) Given expression:
[tex] \frac{ \sqrt[3]{7} }{ \sqrt[3]{49} } [/tex]
2) Notice that 49 = 7².
3) With that in mind, rationalize by multiplying numerator and denominator by ∛7:
[tex] \frac{ \sqrt[3]{7} }{ \sqrt[3]{49} } \frac{ \sqrt[3]{7} }{ \sqrt[3]{7} } = \frac{ \sqrt[]{7^2} }{ \sqrt[3]{7^3} } = \frac{ \sqrt[3]{49} }{7} [/tex]
