Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.4" was replaced by "(14/10)". 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  :

    37        14
  ((——•(103))•——)•(26•56)
    10        10

Step  2  :

            7
 Simplify   —
            5

Equation at the end of step  2  :

    37            7
  ((—— • (103)) • —) • (26•56)
    10            5

Step  3  :

 3.1     10 = 2•5

(10)³ = (2•5)³ = 2³ • 5³

Equation at the end of step  3  :

    37              7
  ((—— • (23•53)) • —) • (26•56)
    10              5

Step  4  :

            37
 Simplify   ——
            10

Equation at the end of step  4  :

    37              7
  ((—— • (23•53)) • —) • (26•56)
    10              5

Step  5  :

Dividing exponents :

 5.1    2³   divided by   2¹   = 2^{(3 - 1)} = 2²

Dividing exponents :

 5.2    5³   divided by   5¹   = 5^{(3 - 1)} = 5²

Equation at the end of step  5  :

          7
  (3700 • —) • (26•56)
          5

Step  6  :

Multiplying exponents :

 6.1    2²  multiplied by  2⁶   = 2^{(2 + 6)} = 2⁸

Multiplying exponents :

 6.2    5¹  multiplied by  5⁶   = 5^{(1 + 6)} = 5⁷

Final result :

  (28•57•7•37)