When ever you have
[tex]\frac{1}{ {{x} }^{ \frac{15}{7} } }[/tex]
Just know you can bring the bottom number up top and have the exponant negative
[tex]\frac{1}{ {{x} }^{ \frac{15}{7} } } = { {x} }^{ - \frac{15}{7} } [/tex]
Answer is:
[tex] \frac{8}{ {\sqrt[7]{x^{15}}} } = 8 \times \frac{1}{ {{x} }^{ \frac{15}{7} } } = 8 \times {x}^{ - \frac{15}{7} } [/tex]
Additionally, remember the way to change expo to radical and back:
The top number on the fraction exponant is the top dog, he gets to go inside the radical, whole the bottom dog has to sleep outside the radical.