SOLUTION: Simplify the following expression. Give your answer using only positive values for the exponents. (2x^-3)^4(3x^5)^-2

Algebra ->  Equations -> SOLUTION: Simplify the following expression. Give your answer using only positive values for the exponents. (2x^-3)^4(3x^5)^-2      Log On


   

Question 54285: Simplify the following expression. Give your answer using only positive values for the exponents.
(2x^-3)^4(3x^5)^-2
Answer by Cintchr(481) About Me  (Show Source):
You can put this solution on YOUR website!
+%282x%5E-3%29%5E4%283x%5E5%29%5E-2+
Begin with your Power to power ... and deal with the exponents on the outside.
Don't forget the Coefficients get the exponents too.
+%282%5E4x%5E-12%29%283%5E-2x%5E-10%29+
Remember that anything over 1 is equal to itself.
+%28%282%5E4x%5E-12%29%2F1%29%28%283%5E-2x%5E-10%29%2F1%29+
Anything that has a negative exponent, move it to the other side of the fraction and make the exponent positive.
+%28%282%5E4%29%2F%28x%5E12%29%29%28%281%29%2F%283%5E2x%5E10%29%29+
Work the Coefficients
+%28%2816%29%2F%28x%5E12%29%29%28%281%29%2F%289x%5E10%29%29+
Multiply the fractions
+%2816%29%2F%289x%5E22%29+