simplify 2a^2(a^-3)^4/(a^-2)^-3

Question

need help to simplify this!

Answer 1

2a^2(a^-3)^4/(a^-2)^-3

Remember that a negative exponent means it is on the wrong part of the fraction. The (a^-3) must go to the denominator, and the (a^-2)^-3 needs to go to the numerorator.

2a^2(a^2)^3 / (a^3)^4 =

2 a^2(a^6) / a^12 =

2 a^8 / a^12

2 / a^4