SOLUTION: How do you simplify {{{ (a^2/3)^-1 * (3a^3/b^5)^-4) }}}? -1 and -4 are exponents.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: How do you simplify {{{ (a^2/3)^-1 * (3a^3/b^5)^-4) }}}? -1 and -4 are exponents.      Log On


   

Question 741596: How do you simplify +%28a%5E2%2F3%29%5E-1+%2A+%283a%5E3%2Fb%5E5%29%5E-4%29+?
-1 and -4 are exponents.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
simplify +%28a%5E2%2F3%29%5E-1+%2A+%283a%5E3%2Fb%5E5%29%5E-4%29+
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Invert and change the signs of the exponents
= +%283%2Fa%5E2%29%5E1+%2A+%28b%5E5%2F3a%5E3%29%5E4%29+
= +%283%2Fa%5E2%29%2A+%28b%5E5%2F3a%5E3%29%5E4%29+
= +%283%2Fa%5E2%29%2A+%28b%5E20%2F81a%5E12%29+
= 3b%5E20%2F81a%5E14
= b%5E20%2F27a%5E14