How do you simplify (8^ { 6} ) ^ { 2} \div ( 8^ { 2} ) ^ { 5}?

1 Answer
Sep 27, 2017

64

Explanation:

(a^m)^n=a^(mn)

Hence
(8^6)^2/(8^2)^5=8^(6xx2)/(8^(2xx5))=8^12/8^10

1/a^m=a^-m and a^mxxa^n=a^(m+n)

(8^6)^2/(8^2)^5=8^12xx8^-10=8^(12-10)=8^2=64