Question

find the value of X.

Answer 1

$\frac{1}{243}$

(x)-4/5=81
x⁴/5=3⁴
81×3=243

Answer 2

Answer: Option (D)

Explanation:

We need to solve it using option Verification:

(A) 

 $(3)^ \frac{-4}{5}$

 $\frac{1}{ \frac{3^4}{5} }$

$0.41524$



(B)

     $(\frac{1}{3})^ \frac{-4}{5}$

      $3^ \frac{4}{5}$

      2.40822



(C)

 $(243)^ \frac{-4}{5}$

 $\frac{1}{243^ \frac{4}{5} }$

 $\frac{1}{(3^5)^ \frac{4}{5} }$

 $\frac{1}{3^4}$

$\frac{1}{81}$



(D)

$( \frac{1}{243})^ \frac{-4}{5}$

$(243)^ \frac{4}{5}$

$(3^5)^ \frac{4}{5}$

$3^4$

81.



Hope this helps!