Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.1" was replaced by "(1/10)".

Step  1  :

             1
 Simplify   ——
            10

Equation at the end of step  1  :

        (1
  800 •(——)5) ÷ 2
        10

Step  2  :

 2.1     10 = 2•5 (10)⁵ = (2•5)⁵ = 2⁵ • 5⁵

Equation at the end of step  2  :

           1   
  800 • ——————— ÷ 2
        (25•55)

Step  3  :

            1         
 Divide  ———————  by  2
         (25•55)      

Multiplying exponents :

 3.1    2⁵  multiplied by  2¹   = 2^{(5 + 1)} = 2⁶

Equation at the end of step  3  :

           1   
  800 • ———————
        (26•55)

Step  4  :

Dividing exponents :

 4.1    2⁵   divided by   2⁶   = 2^{(5 - 6)} = 2^(-1) = ¹/_2¹ = ¹/₂

Dividing exponents :

 4.2    5²   divided by   5⁵   = 5^{(2 - 5)} = 5^(-3) = ¹/_5³

Final result :

   1            
  ——— = 0.00400 
  250