Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "6.5" was replaced by "(65/10)".

Step  1  :

 1.1     10 = 2•5

(10)⁶ = (2•5)⁶ = 2⁶ • 5⁶

Equation at the end of step  1  :

   65
  (—— • (104)) ÷ (5 • (26•56))
   10

Step  2  :

Raising to a Power :

 2.1    5¹  multiplied by  5⁶   = 5^{(1 + 6)} = 5⁷

Equation at the end of step  2  :

   65
  (—— • (104)) ÷ (57•26)
   10

Step  3  :

 3.1     10 = 2•5

(10)⁴ = (2•5)⁴ = 2⁴ • 5⁴

Equation at the end of step  3  :

   65
  (—— • (24•54)) ÷ (57•26)
   10

Step  4  :

            13
 Simplify   ——
            2 

Equation at the end of step  4  :

  13
  —— • (24•54)) ÷ (57•26)
  2 

Step  5  :

Dividing exponents :

 5.1    2⁴   divided by   2¹   = 2^{(4 - 1)} = 2³

Equation at the end of step  5  :

Step  6  :

            (13•23•54)
 Simplify   ——————————
             (57•26)  

Dividing exponents :

 6.1    2³   divided by   2⁶   = 2^{(3 - 6)} = 2^(-3) = ¹/_2³

Dividing exponents :

 6.2    5⁴   divided by   5⁷   = 5^{(4 - 7)} = 5^(-3) = ¹/_5³

Final result :

   13            
  ———— = 0.01300 
  1000