Question

When 27x^2z/-3x^2z^6 is completely simplified , the exponent on the variable z is _____

Answer 1

`\bf \cfrac{27x^2z}{-3x^2z^6}\implies -\cfrac{27}{3}\cdot \cfrac{x^2z}{x^2z^6}\implies -9\cdot \cfrac{x^2x^(-2)}{z^6z^(-1)}\implies -9\cdot \cfrac{x^(2-2)}{z^(6-1)} \\\\\\ -9\cdot \cfrac{x^0}{z^5}\implies -9\cdot \cfrac{1}{z^5}\implies -\cfrac{9}{z^5}`