Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.5" was replaced by "(5/10)". 2 more similar replacement(s)

Step  1  :

 1.1     10 = 2•5

(10)⁶ = (2•5)⁶ = 2⁶ • 5⁶

Equation at the end of step  1  :

   35        5
  (——•(108))——•(26•56))
   10(      10

Step  2  :

            1
 Simplify   —
            2

Equation at the end of step  2  :

   35             1
  (—— • (108)) ÷ (— • (26•56))
   10             2

Step  3  :

Raising to a Power :

 3.1    2⁶   divided by   2¹   = 2^{(6 - 1)} = 2⁵

Equation at the end of step  3  :

   35
  (—— • (108)) ÷ (25•56)
   10

Step  4  :

 4.1     10 = 2•5

(10)⁸ = (2•5)⁸ = 2⁸ • 5⁸

Equation at the end of step  4  :

   35
  (—— • (28•58)) ÷ (25•56)
   10

Step  5  :

            7
 Simplify   —
            2

Equation at the end of step  5  :

  7
  — • (28•58)) ÷ (25•56)
  2

Step  6  :

Dividing exponents :

 6.1    2⁸   divided by   2¹   = 2^{(8 - 1)} = 2⁷

Equation at the end of step  6  :

Step  7  :

            (7•27•58)
 Simplify   —————————
             (25•56) 

Dividing exponents :

 7.1    2⁷   divided by   2⁵   = 2^{(7 - 5)} = 2²

Dividing exponents :

 7.2    5⁸   divided by   5⁶   = 5^{(8 - 6)} = 5²

Final result :

  700