Question

Rewrite the expression with rational exponents as a radical expression by extending the properties of i tiger exponents

Answer 1

`\sqrt[6]{y}`

Explanation:

The expression is

`\frac{y^{(1)/(3) } }{y^{(1)/(6)}}`

Applying rule of exponents,
`(x^(m))/(x^(n))=x^(m-n)`

`\frac{y^{(1)/(3) } }{y^{(1)/(6)}}=y^{(1)/(3)-(1)/(6)}=y^{(2-1)/(6)}=y^{(1)/(6)}`

Now,we know that,
`x^{(1)/(n)}=\sqrt[n]{x}`

∴
`y^{(1)/(6)}=\sqrt[6]{y}`

So, the last option is correct.