Question

Simplify completely.

(w^15/w^5)^4

Answer 1

`\text{Use}\\\\(a^n)/(a^m)=a^(n-m)\\\\(a^n)^m=a^(n\cdot m)\\-------------------------\\\\\left((w^(15))/(w^5)\right)^4=\left(w^(15-5)\right)^4=\left(w^(10)\right)^4=w^(10\cdot4)=w^(40)\\\\Answer:\ \boxed{\left((w^(15))/(w^5)\right)^4=w^(40)}`