Math, asked by aishowrya, 1 year ago

[(1/216)^-⅔] / [(1/27)^-4/3] = x

Find x here.

Answers

Answered by Ankit1408
3
hello users ......

we have to find :
x = ? 

solution :-
[(1/216)^-⅔] / [(1/27)^-4/3]  
 
= [ 216
^ ⅔ ] / [ 27^ 4/3]

= (6³)^⅔ / (3³)^ 4/3

= 6² / 3^ 4 

= 36 / 81 

= 4 / 9 answer 

✪✪ hope it helps ✪✪


Answered by MansiGarg1111
1
Heya...
Here is your answer ---

[(1/216)^ -2/3] / [(1/27)^ -4/3]

We can write it by taking the denominator of the fractions in place of numerator and changing the negative sign of the power to positive.

Here,
(216^2/3) / (27^4/3) = x
(6^3×2/3) / (3^3×4/3) = x
(6^2) / (3^4) = x
6×6 / 3×3×3×3 = x
2×2/3×3 = x
(2/3)^2 = x
4/9 = x

Hence, the value of x is 4/9.

HOPE IT HELPS...!!
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