SOLUTION: Simplify the algebraic expressions containing exponents, answer with positive exponents only. (not quite sure where this would go under category wise) {{{(-2c^-3*d^4)/(3^-1*c^1*d^

Algebra ->  Expressions -> SOLUTION: Simplify the algebraic expressions containing exponents, answer with positive exponents only. (not quite sure where this would go under category wise) {{{(-2c^-3*d^4)/(3^-1*c^1*d^      Log On


   

Question 319163: Simplify the algebraic expressions containing exponents, answer with positive exponents only. (not quite sure where this would go under category wise)
%28-2c%5E-3%2Ad%5E4%29%2F%283%5E-1%2Ac%5E1%2Ad%5E-2%2Ac%5E3%29
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28-2c%5E-3%2Ad%5E4%29%2F%283%5E-1%2Ac%5E1%2Ad%5E-2%2Ac%5E3%29 Start with the given expression.


%28-2%2A3%5E1%2Ad%5E2%2Ad%5E4%29%2F%28c%5E3%2Ac%5E1%2Ac%5E3%29 Take the reciprocal of each expression that has a negative exponent.


%28-2%2A3%2Ad%5E2%2Ad%5E4%29%2F%28c%5E3%2Ac%5E1%2Ac%5E3%29 Raise 3 to the first power to get 3.


%28-2%2A3%2Ad%5E%282%2B4%29%29%2F%28c%5E%283%2B1%2B3%29%29 Multiply by adding the exponents.


%28-2%2A3%2Ad%5E6%29%2F%28c%5E7%29 Add


%28-6d%5E6%29%2F%28c%5E7%29 Multiply -2 and 3 to get -6.


So %28-2c%5E-3%2Ad%5E4%29%2F%283%5E-1%2Ac%5E1%2Ad%5E-2%2Ac%5E3%29=%28-6d%5E6%29%2F%28c%5E7%29