How do you simplify $\root[ 3] { \frac { 5x } { 81y ^ { 12} } }$ ?

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Answer 1 · 2018-06-30T12:39:44

$color(crimson)(=> root 3 ((5x) / 3) / (3 * y^4)$

$root 3 ((5x)/(81y^12))$

$=> root 3 (5x) / root 3 (81 y^12)$

$=> root 3 (5x) / ((81)^(1/3) * (y^12)^(1/3))$

$=> root 3 (5x) / ((3^(4/3)) * (y^(12/3))$

$=> root 3 ((5x) / 3) / (3 * y^4)$

How do you simplify \root[ 3] { \frac { 5x } { 81y ^ { 12} } }\root[ 3] { \frac { 5x } { 81y ^ { 12} } }?