Answer:
[tex]x^{21/5}[/tex]
Step-by-step explanation:
Step 1: Convert [tex]\sqrt[5]{x^{7}}[/tex] into exponential form
[tex]((x^7)^{1/5})^{3}[/tex]
Step 2: Mulitply the 2 exponents together
[tex](x^{7/5})^{3}[/tex]
Step 3: Multiply the exponents again
[tex](x^{7/5})^{3}[/tex] = [tex]x^{21/5}[/tex]