Answer:
Option (4)
Step-by-step explanation:
We have to prove: [tex]6^{\frac{1}{3} }=\sqrt[3]{6}[/tex]
To prove this equation we will take [tex]6^{k}=e^{\frac{1}{3}}[/tex]
[tex]6^{k}=\sqrt[3]{6}[/tex]
[tex](6^{k})^3=(\sqrt[3]{6})^3[/tex]
[tex]6^{3k}=6^1[/tex]
By comparing powers of 6 on both the sides,
3k = 1
k = [tex]\frac{1}{3}[/tex]
Therefore, [tex]6^{\frac{1}{3}}=\sqrt[3]{6}[/tex]
Hence the equation is true.
Option (4) will be the correct opion.
