SOLUTION: Hello, I really don't understand how to simplify {{{ 3a^2b^3c^-2 }}} divided by {{{ (a^-1b^2c)^3 }}} Thanks.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Hello, I really don't understand how to simplify {{{ 3a^2b^3c^-2 }}} divided by {{{ (a^-1b^2c)^3 }}} Thanks.      Log On


   

Question 731655: Hello, I really don't understand how to simplify
+3a%5E2b%5E3c%5E-2+
divided by
+%28a%5E-1b%5E2c%29%5E3+
Thanks.
Found 2 solutions by MathLover1, josmiceli:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
+%283a%5E2b%5E3c%5E-2%29%2F%28a%5E-1b%5E2c%29%5E3++....first eliminate negative exponents; c%5E-2=1%2Fc%5E2 and a%5E-1=1%2Fa

+%283a%5E2b%5E3%281%2Fc%5E2%29%29%2F%28%281%2Fa%29b%5E2c%29%5E3++

+%28%283a%5E2b%5E3%29%2Fc%5E2%29%2F%28b%5E2c%2Fa%29%5E3++

+%28%283a%5E2b%5E3%29%2Fc%5E2%29%2F%28%28b%5E2c%29%5E3%2F%28a%29%5E3%29++

+%28%283a%5E2b%5E3%29%2Fc%5E2%29%2F%28%28b%5E6c%5E3%29%2Fa%5E3%29++

+%283a%5E2b%5E3a%5E3%29%2F%28c%5E2b%5E6c%5E3%29++

+%283a%5E5b%5E3%29%2F%28c%5E5b%5E6%29++

+%283a%5E5cross%28b%5E3%29%29%2F%28c%5E5b%5Ecross%286%29%5E3%29++

+%283a%5E5%29%2F%28b%5E3c%5E5%29++




Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Use the general rule:
+%28+a%5Eb+%29%5Ec+=+a+%5E%28b%2Ac%29+
---------------------
+%28+3a%5E2%2Ab%5E3%2Ac%5E%28-2%29+%29+%2F+%28+%28+a%5E-1b%5E2c+%29%5E3+%29+
+%28+3a%5E2%2Ab%5E3%2Ac%5E%28-2%29+%29+%2F+%28+a%5E%28-3%29%2Ab%5E6%2Ac%5E3+%29+

+3%2Aa%5E5%2Ab%5E%28-3%29%2Ac%5E%28-5%29+