How do you simplify $\frac{6 y}{y^{2} + y - 72} \div \frac{y^{6}}{8 - y}$ $(6y)/(y^2+y-72) div y^6/(8-y)$ ?

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How do you simplify $\frac{6 y}{y^{2} + y - 72} \div \frac{y^{6}}{8 - y}$ $(6y)/(y^2+y-72) div y^6/(8-y)$ ?

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Answer 1 · 2015-07-25T13:22:27

$- \frac{6}{y^{5} (y + 9)}$ $- 6 / ( y^5 ( y + 9 ) )$

Explanation:

$\frac{6 y}{y^{2} + y - 72} \div \frac{y^{6}}{8 - y}$ $( 6y ) / ( y^2 + y - 72 ) -: y^6 / ( 8 - y )$
$\frac{6 y}{(y + 9) (y - 8)} \frac{8 - y}{y^{6}}$ $( 6y ) / ( ( y + 9 ) ( y - 8 ) ) ( 8 - y ) / y^6$
$- ( 6 cancel(y) ) / ( ( y + 9 ) cancel( ( y - 8 ) ) ) ( cancel( ( y - 8 ) ) ) / y^(cancel(6) 5)$
$- 6 / ( y^5 ( y + 9 ) )$

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How do you simplify $\frac{6 y}{y^{2} + y - 72} \div \frac{y^{6}}{8 - y}$ $(6y)/(y^2+y-72) div y^6/(8-y)$ ?

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How do you simplify $\frac{6 y}{y^{2} + y - 72} \div \frac{y^{6}}{8 - y}$ $(6y)/(y^2+y-72) div y^6/(8-y)$ ?