Question

please give correct answer I will mark as brainliest ​

Answer 1

Answer:

27/8

Step-by-step explanation:

Given:

(2/3)⁻¹ * (2/3)⁻²

=> (3/2)¹ * (3/2)²

=> (3/2) * (9/4)

=> (27/8)

Hope it helps!

Answer 2

Answer:

$(\frac{27}{8} )$

Step-by-step explanation:

If a fraction is given the power of a negative number, first switch the numerator and denominator to get rid of the negative

So $(\frac{2}{3} )^{-1}$ becomes $(\frac{3}{2} )^{1}$ , as the 2 and 3 switched places than the negative power goes.

Do the same to the other side to get $(\frac{3}{2} )^{2}$

Anything to the power of 1 is the same, so $(\frac{3}{2} )^{1}$ is just  $(\frac{3}{2})$

$(\frac{3}{2} )^{2}$ is the same as $(\frac{3^{2} }{2^{2} } )$ , so you get  $\frac{9}{4}$

Once you multiply $(\frac{3}{2})$ × $(\frac{9}{4} )$ you get $(\frac{27}{8} )$