could someone help me with math?

Question

Simplify this expression. If the answer contains exponents, all exponents should be positive.

(w^5)^4 (w^3)^4/(w^4)^7

Answer 1

For exponentiation, (a^b)^c = a^(bc), a^b*a^c=a^(b+c), and a^b/a^c=a^(b-c). Therefore,

 

(w^5)^4 (w^3)^4/(w^4)^7=w^(5*4) w^(3*4)/w^(4*7)

                                           =w^20*w^12/w^28

                                           =w^(20+12-28)

                                           =w^4