Question

Anyone know how to solve this??

Answer 1

`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`