Factoring exponents

Question

Factor, using the common factor 6a^-15/4. Assume all variables represent positive real numbers:

 

-6a^-3/4 + 24a^-15/4

 

 

Answer 1

Factor (n.):  a number or quantity that when multiplied with another produces a given number or expression

 

Also, remember that     (x^m)*(x^n) = x^(m+n)

 

                      -6a^-3/4    +    24a^-15/4

   (6a^-15/4)( -a^12/4      +    4 )

   (6a^-15/4)(-a^3         +  4)