Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.0081" was replaced by "(0081/10000)".

Step  1  :

 1.1     10 = 2•5

(10)¹ = (2•5)¹ = 2 • 5

Equation at the end of step  1  :

    81 
  ————— • (2•5)
  10000

Step  2  :

              81 
 Simplify   —————
            10000

Equation at the end of step  2  :

    81 
  ————— • (2•5)
  10000

Step  3  :

Dividing exponents :

 3.1    2¹   divided by   2⁴   = 2^{(1 - 4)} = 2^(-3) = ¹/_2³

Dividing exponents :

 3.2    5¹   divided by   5⁴   = 5^{(1 - 4)} = 5^(-3) = ¹/_5³

Final result :

   81            
  ———— = 0.08100 
  1000