Which expressions are equivalent

Answer:
Options (B) and (C)
Step-by-step explanation:
The given expression is [tex](d^{\frac{1}{8}})^5[/tex]
By simplifying this expression,
[tex](d^{\frac{1}{8}})^5[/tex]
= [tex](\sqrt[8]{d})^{5}[/tex]
Option (B)
Similarly,
[tex](d^{\frac{1}{8}})^5[/tex]
= [tex]d^{\frac{5}{8}}[/tex]
= [tex](d^{5})^{\frac{1}{8}}[/tex]
Option (C)
Therefore, Options (B) and (C) will be the correct options.