Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "3.5" was replaced by "(35/10)". 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  :

   79          35
  (——•(1011))•(——•(26•56))
   10          10

Step  2  :

            7
 Simplify   —
            2

Equation at the end of step  2  :

   79              7
  (—— • (1011)) • (— • (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  :

   79
  (—— • (1011)) • (7•25•56)
   10

Step  4  :

 4.1     10 = 2•5

(10)¹¹ = (2•5)¹¹ = 2¹¹ • 5¹¹

Equation at the end of step  4  :

   79
  (—— • (211•511)) • (7•25•56)
   10

Step  5  :

            79
 Simplify   ——
            10

Equation at the end of step  5  :

   79
  (—— • (211•511)) • (7•25•56)
   10

Step  6  :

Dividing exponents :

 6.1    2¹¹   divided by   2¹   = 2^{(11 - 1)} = 2¹⁰

Dividing exponents :

 6.2    5¹¹   divided by   5¹   = 5^{(11 - 1)} = 5¹⁰

Equation at the end of step  6  :

  (79•210•510) • (7•25•56)

Step  7  :

Multiplying exponents :

 7.1    2¹⁰  multiplied by  2⁵   = 2^{(10 + 5)} = 2¹⁵

Multiplying exponents :

 7.2    5¹⁰  multiplied by  5⁶   = 5^{(10 + 6)} = 5¹⁶

Final result :

  (79•215•516•7)