Answer :
Given the expression
[tex](\frac{w^5}{x^3})^8[/tex]Use the facts that
[tex](\frac{a}{b})^n=\frac{a^n}{b^n},(a^m)^n=a^{mn}[/tex]So, the expression can be simplified as:
[tex]\begin{gathered} \frac{(w^5)^8}{(x^3)^8}=\frac{w^{5\cdot8}}{x^{3\cdot8}} \\ =\frac{w^{40}}{x^{24}} \end{gathered}[/tex]