Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

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

Step  1  :

 1.1     10 = 2•5

(10)¹¹ = (2•5)¹¹ = 2¹¹ • 5¹¹

Equation at the end of step  1  :

        14
  10 • (—— • (211•511))
        10

Step  2  :

            7
 Simplify   —
            5

Equation at the end of step  2  :

        7
  10 • (— • (211•511))
        5

Step  3  :

Dividing exponents :

 3.1    5¹¹   divided by   5¹   = 5^{(11 - 1)} = 5¹⁰

Equation at the end of step  3  :

  10 • (7•211•510)

Step  4  :

Multiplying exponents :

 4.1    2¹  multiplied by  2¹¹   = 2^{(1 + 11)} = 2¹²

Multiplying exponents :

 4.2    5¹  multiplied by  5¹⁰   = 5^{(1 + 10)} = 5¹¹

Final result :

  (212•511•7)