The number 27^{-(2)/(3) }, can be written in the form \frac{1}{\sqrt[A]{27^(B) } }. What is the value of B? 1. (2)/(3) 2. 3 3. -2 4. 2

Question

The number
`27^{-(2)/(3) }`, can be written in the form
`\frac{1}{\sqrt[A]{27^(B) } }`. What is the value of B?

1.
`(2)/(3)`
2. 3
3. -2
4. 2

Answer 1

4. 2

Explanation:

The value of B in the expression is the numerator of the fraction in the exponent: 2.

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

_____

= 1/9