Question

How do you simplify `(\frac { m ^ { 4} m ^ { - 4} } { 2m ^ { 4} } ) ^ { 4}`?

Answer 1

`1/(16m^16)`

Explanation:

Recall: `" "x^a xx x^b = x^(a+b)," " (x^m)^n = x^(mxxn)," "x^0 =1`

`((m^4m^-4)/(2m^4))^4 "larr` add the indices of m in the numerator

=`((m^0)/(2m^4))^4`

=`1/(2^4 m^16)`

=`1/(16m^16)`