SOLUTION: can you please explain step by step this problem 2a^-2/(2a)^-3 i am really having a hard time thank you in advance the answer i have is 2^4a=16a and i have no idea how they got thi

Algebra ->  Exponents -> SOLUTION: can you please explain step by step this problem 2a^-2/(2a)^-3 i am really having a hard time thank you in advance the answer i have is 2^4a=16a and i have no idea how they got thi      Log On


   

Question 238690: can you please explain step by step this problem 2a^-2/(2a)^-3 i am really having a hard time thank you in advance the answer i have is 2^4a=16a and i have no idea how they got this answer
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
2a%5E-2%2F%282a%29%5E-3
Multiply NUM and DEN by (2a)^3
= 2a%5E-2%2A%282a%29%5E3%2F1
Multiply NUM and DEN by a^2
= 2%2A%282a%29%5E3%2Fa%5E2
= 2%2A8a%5E3%2Fa%5E2
= 16a