Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "2.6" was replaced by "(26/10)". 2 more similar replacement(s)

Step  1  :

 1.1     10 = 2•5

(10)⁷ = (2•5)⁷ = 2⁷ • 5⁷

Equation at the end of step  1  :

   45         26
  (——•(106))•(——•(27•57))
   10         10

Step  2  :

            13
 Simplify   ——
            5 

Equation at the end of step  2  :

   45             13
  (—— • (106)) • (—— • (27•57))
   10             5 

Step  3  :

Raising to a Power :

 3.1    5⁷   divided by   5¹   = 5^{(7 - 1)} = 5⁶

Equation at the end of step  3  :

   45
  (—— • (106)) • (13•27•56)
   10

Step  4  :

 4.1     10 = 2•5

(10)⁶ = (2•5)⁶ = 2⁶ • 5⁶

Equation at the end of step  4  :

   45
  (—— • (26•56)) • (13•27•56)
   10

Step  5  :

            9
 Simplify   —
            2

Equation at the end of step  5  :

   9
  (— • (26•56)) • (13•27•56)
   2

Step  6  :

Dividing exponents :

 6.1    2⁶   divided by   2¹   = 2^{(6 - 1)} = 2⁵

Equation at the end of step  6  :

  (32•25•56) • (13•27•56)

Step  7  :

Multiplying exponents :

 7.1    2⁵  multiplied by  2⁷   = 2^{(5 + 7)} = 2¹²

Multiplying exponents :

 7.2    5⁶  multiplied by  5⁶   = 5^{(6 + 6)} = 5¹²

Final result :

  (32•212•512•13)