Respuesta :

Answer:

B

Step-by-step explanation:

[tex]5^{-1/7}[/tex]

= [tex]\frac{1}{5^{1/7} }[/tex]

= 1 / [tex]\sqrt[7]{5}[/tex]

Answer:

Option B

Step-by-step explanation:

To remove a negative power we put the number under one :

[tex]5^{-\frac{1}{7} } = \frac{1}{5^{\frac{1}{7} } }[/tex]

To remove the fractional power we make the denominator the root and the numerator the power:

[tex]\frac{1}{5^{\frac{1}{7} } } = \frac{1}{\sqrt[7]{5^{1} } } = \frac{1}{\sqrt[7]5}[/tex]

Therefore [tex]\frac{1}{\sqrt[7]5}[/tex] - Option B is our final answer