Question

27/8^-2/3
Whats the value

Answer 1

`(4)/(9)`

Explanation:

`(27)/(8) ^{-(2)/(3) }` = ?

Change the sign of the exponent by rewriting the base as its reciprocal.

`(8)/(27) ^{-(2)/(3) }`

Apply the product rule.

`\frac{8^{(2)/(3) } }{27^{(2)/(3) } }`

Simplify the numerator.

`\frac{4}{27^{(2)/(3) } }`

Simplify the denominator.

`(4)/(9)`

So, the answer is
`(4)/(9)`