SOLUTION: simplify the following algebraic expression 3x^3 y^4 z^-2 _____________ 6x^-1 y^3 z^-3

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 Question 48026: simplify the following algebraic expression 3x^3 y^4 z^-2 _____________ 6x^-1 y^3 z^-3Answer by bbbluebabybb(1)   (Show Source): You can put this solution on YOUR website!Your answer would be x^4yz/3. If you bring x^-1 to the numerator that would be 3x^3(x^1)y^4z^-2/6y^3z^-3 so simplified it would be 3x^4y^4z^-2/6y^3z^-3. Now simplify the z's. bring z^-3 to the numerator. And get 3 x^4 y^4 z^-2(z^3) /6y^3 Simplified is 3x^4 y^4 z/ 6y^3 Now y's, bring y^3 to the numerator and get 3x^4 y^4(y^-3) z/ 6 Simplified is 3x^4 y z/6 Now the numbers 3/6 can be simplified to 1/3 and get x^4yz _______ 3 z^-2(z^3) is z because when multiplying your exponents add or subtract depending on whether a number is negative or positive. In this problem its like (-2+3)= 1 and z^1 is z