Question

Which is equivalent to 243 2/5 ? 3 6 9 12

Answer 1

9 Good luckkkkkkkkkkkkkkkkkkkkkkkkkkkkk

Answer 2

The answer is
`9`

Explanation:

we have

`(243)^{(2)/(5)}`

we know that

`a^{(n)/(m)}=\sqrt[m]{a^(n)}`

so

`(243)^{(2)/(5)}=\sqrt[5]{243^(2)}`

Remember that

`243=3^(5)`

Substitute

`\sqrt[5]{243^(2)}=\sqrt[5]{(3^(5))^(2)}\\ \\= \sqrt[5]{(3^(10))}\\ \\=3^{(10)/(5)}\\ \\= 3^(2) \\ \\=9`