Respuesta :

gmany
[tex]\left(\dfrac{w^{15}}{w^5}\right)^4=\left(w^{15-5}\right)^4=\left(w^{10}\right)^4=w^{10\cdot4}=w^{40}\\\\\text{Answer:}\ \boxed{w^{40}}\\\\\text{Used:}\\\\\dfrac{a^n}{a^m}=a^{n-m}\\\\\left(a^n\right)^m=a^{n\cdot m}[/tex]
tdpuppies14
Let's work this problem from inside the parentheses.

([tex] \frac{ w^{15} }{ w^{5} } [/tex] simplifies to [tex] w^{10} [/tex]
Now we have
[tex](w^{10})^{4} [/tex] which simplifies to [tex] w^{40} [/tex]

Final Answer: [tex] w^{40} [/tex]