Question

-8 with power -2/3 iam so confused either answer will be positive or negative? Give solution please hurry up.....

Answer 1

`(1)/(4)`

Explanation:

Using the rule of exponents / radicals

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

`a^(-m)` =
`(1)/(a^(m) )` , then

`-8^{-(2)/(3) }`

=
`\frac{1}{-8^{(2)/(3) } }`

=
`\frac{1}{(\sqrt[3]{-8})^2 }`

=
`(1)/(-2)^(2) )`

=
`(1)/(4)`