Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "2.5" was replaced by "(25/10)".

Step  1  :

 1.1     10 = 2•5

(10)⁸ = (2•5)⁸ = 2⁸ • 5⁸

Equation at the end of step  1  :

   25
  (—— • (103)) ÷ (5 • (28•58))
   10

Step  2  :

Raising to a Power :

 2.1    5¹  multiplied by  5⁸   = 5^{(1 + 8)} = 5⁹

Equation at the end of step  2  :

   25
  (—— • (103)) ÷ (59•28)
   10

Step  3  :

 3.1     10 = 2•5

(10)³ = (2•5)³ = 2³ • 5³

Equation at the end of step  3  :

   25
  (—— • (23•53)) ÷ (59•28)
   10

Step  4  :

            5
 Simplify   —
            2

Equation at the end of step  4  :

  5
  — • (23•53)) ÷ (59•28)
  2

Step  5  :

Multiplying exponents :

 5.1    5¹  multiplied by  5³   = 5^{(1 + 3)} = 5⁴

Dividing exponents :

 5.2    2³   divided by   2¹   = 2^{(3 - 1)} = 2²

Equation at the end of step  5  :

Step  6  :

              2500 
 Simplify   ———————
            (59•28)

Dividing exponents :

 6.1    2²   divided by   2⁸   = 2^{(2 - 8)} = 2^(-6) = ¹/_2⁶

Dividing exponents :

 6.2    5⁴   divided by   5⁹   = 5^{(4 - 9)} = 5^(-5) = ¹/_5⁵

Final result :

     1                                     
  ——————— = 5.00000 • 10-6 
  (55•26)