Question

Rewrite the following exponential expressions as equivalent radical expressions. If the number is rational, write it without radicals or exponents.

27^(−2/3)

Answer 1

1/9

Explanation:

simplify

27^(-2/3)

= 1/27^(2/3)

= 1/[27^(1/3)]²

= 1/{[3×3×3]^(1/3)}²

= 1/3²

= 1/9

it's easy

Answer 2

The answer to your question is:
`(1)/(9)`

Explanation:

Data

27⁻²/³

Process

`(1)/(27^(2/3) )`

`\frac{1}{\sqrt[3]{27^(2)}}`

27 = 3³

=
`\frac{1}{\sqrt[3]{3^(3)^2} }`

=
`\frac{1}{\sqrt[3]{3^(6) } }`

=
`(1)/(3^(6/3))`

=
`(1)/(9)`