Answer:
7
Step-by-step explanation:
When you are raising a power to a power, you can multiply them:
[tex](49^3)^{\frac{1}{6}}=49^{3*\frac{1}{6}}[/tex] = [tex]49^{\frac{3}{6}}[/tex] = [tex]49^{\frac{1}{2}}[/tex]
When raising a number to the power of 1/2, you are basically finding the square root of the number:
[tex]49^{\frac{1}{2}}[/tex] = [tex]\sqrt{49}[/tex] = 7
