Evaluate: \sqrt[-3]{27}

Question

Evaluate:
`\sqrt[-3]{27}`

Answer 1

1/3 is the simplified form for given expression.

Explanation:

Given that:

=
`\sqrt[-3]{27}`

By simplifying:

Radical sign will be removed as follows:

=
`27^(-1/3)`

For removing the "-" sign from power, base will be inverted:

=
`(1/27) ^ {1/3}`

27 can also be written as 3 * 3 * 3 = 3^3

So,

=
`(1/3^3)^(1/3)`

=
`1^(1/3) / 3^(3* 1/3)`

By simplifying we get:

= 1/3

i hope it will help you!