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How do you simplify ${(- \frac{6}{y})}^{3}$ $(-6/y)^3$ ?

1 Answer

Feb 15, 2016

${(- \frac{6}{y})}^{3} = - \frac{216}{y^{3}}$ $(-6/y)^3 = -216/y^3$

Explanation:

${(- \frac{6}{y})}^{3} = {(- 1)}^{3} \times 6^{3} \times \frac{1}{y^{3}}$ $(-6/y)^3=(-1)^3xx6^3xx1/y^3$

and since
$XXX {(- 1)}^{3} = - 1$ $color(white)("XXX")(-1)^3 = -1$
and
$XXX 6^{3} = 216$ $color(white)("XXX")6^3=216$

${(- \frac{6}{y})}^{3} = - \frac{216}{y^{3}}$ $(-6/y)^3 = -216/y^3$

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