27/8^-2/3 Whats the value

Question

asked Dec 9, 2024 181k views

1 Answer

Steven Canfield · Answer 1 · 2024-12-13T00:06:17+0000

Answer:

(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)