Anyone know how to solve this??

asked May 10, 2019 108k views

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$Given : ((x^(2)/(5))^9\;.\;(x^(-4)/(15)))/(x^(1)/(3))$

$\implies {(x^(18)/(5))\;.\; (x^(-4)/(15))}\;.\;(x^(-1)/(3))$

$\implies x^(^(18)/(5) ^-^(4)/(15)^-^(1)/(3)^)$

$\implies x^(^(^(54 - 4)/(15)^)^-^(1)/(3)^) = x^(^(^(50)/(15)^)^-^(1)/(3)^) = x^(^(^(10)/(3)^)^-^(1)/(3)^) = x^(^(9)/(3)^) = x^3$

$\implies x^k = x^3$

$\implies k = 3$

Jimena answered May 16, 2019

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