How do you simplify ((9x^6 y^-3 z)/(18xy^3 z^-5))?

1 Answer
Apr 11, 2016

=(x^(5 ) z ^ 6) / ( 2y^(6)

Explanation:

(9x^6y^-3z) / ( 18 x y ^3 z ^-5

=(9 * x^6 * y^-3 * z) / ( 18 * x * y ^3 * z ^-5

=(cancel9 / cancel18 ) * ( x^6 * y^-3 * z) / ( x * y ^3 * z ^-5

=(1/2 ) * ( x^6 * y^-3 * z) / ( x * y ^3 * z ^-5

  • Applying property:
    color(blue)(a^m / a ^n = a ^(m-n)

=(1/2 ) * ( x^(6 - 1)) * ( y^(-3 - 3 )) * ( z ^ ( 1 - ( -5)))

=(1/2 ) * x^(5 ) * y^(-6) * z ^ ( (1 + 5))

=(1/2 ) x^(5 ) y^(-6) z ^ 6

=(x^(5 ) z ^ 6) / ( 2y^(6)