SOLUTION: to divide monomials and simplify expressions with negative exponents (9ab^-2)^-2/(8a^-2b)^-2*(3a^-2b)^3/(2a^2b^-2)^3

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: to divide monomials and simplify expressions with negative exponents (9ab^-2)^-2/(8a^-2b)^-2*(3a^-2b)^3/(2a^2b^-2)^3      Log On


   



Question 63030: to divide monomials and simplify expressions with negative exponents
(9ab^-2)^-2/(8a^-2b)^-2*(3a^-2b)^3/(2a^2b^-2)^3

Answer by Cintchr(481) About Me  (Show Source):
You can put this solution on YOUR website!
+%289ab%5E-2%29%5E-2%2F%288a%5E-2b%29%5E-2%2A%283a%5E-2b%29%5E3%2F%282a%5E2b%5E-2%29%5E3+
Keep in mind that all numbers (without a shown exponent) have an understood exponent of 1

power to power rule: +%28x%5Em%29%5En+=+x%5E%28mn%29+

If it has a negative exponent ... move to the other side of the fraction and make the exponent positive.

Combine like terms by adding the exponents of the like variables
+%28b%5E15%29%283%5E3%29%288%5E2%29+++%2F+++%28a%5E18%29%282%5E3%29%289%5E2%29+
Work the numbers
+%2827%29%2864%29%28b%5E15%29+%2F+%288%29%2881%29%28a%5E18%29++
You can multiply and then reduce ... I prefer to reduce first
+%281%29%288%29%28b%5E15%29+%2F+%281%29%283%29%28a%5E18%29++
Multiply
+8b%5E15+%2F+%283a%5E18%29+