Question

Please help me with that

Answer 1

Answer:

$\frac{16}{81}$

Step-by-step explanation:

$(\frac{27}{8} )^{-\frac{4}{3} }$

$=((\frac{3}{2} )^3)^{-4/3}$

$=(\frac{3}{2} )^{-4}$

$=(\frac{2}{3} )^{4}$

$=\frac{16}{81}$

Answer 2

Answer:

16/81

Step-by-step explanation:

a negative exponent means 1/...

the number in the numerator means "to the power of".

the number in the denominator means take the root of that power.

so, we have to take the third root of the expression, or this then to the power of 4, and finally build 1/... if the whole result.

and the sequence is not making a difference.

the third root of of 27/8 = 3/2

this to the power of 4 = 81/16

this 1/... = 16/81