Question

find the value of (256/81)^3/4​

Answer 1

Answer:

STEP

1

:

           256

Simplify   ———

           81  

Equation at the end of step

1

:

 256

(———)3) ÷ 4

 81  

STEP

2

:

2.1     256 = 28

(256)3 = (28)3 = 224  2.2     81 = 34 (81)3 = (34)3 = 312

Equation at the end of step

2

:

 224

 ——— ÷ 4

 312

STEP

3

:

        224      

Divide  ———  by  4

        312      

Dividing exponents:

3.1    224   divided by   22   = 2(24 - 2) = 222

Final result :

 222            

 ——— = 7.89232  

 312