Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "3.141" was replaced by "(3141/1000)".

Step  1  :

 1.1     10 = 2•5

(10)⁵ = (2•5)⁵ = 2⁵ • 5⁵

Equation at the end of step  1  :

       3141
  (4 • ————) • ((7 • (25•55))2)
       1000

Step  2  :

Equation at the end of step  2  :

       3141
  (4 • ————) • ((7•25•55)2)
       1000
 Step  3  :
            3141
 Simplify   ————
            1000

Equation at the end of step  3  :

       3141
  (4 • ————) • (72•210•510)
       1000

Step  4  :

Dividing exponents :

 4.1    2¹⁰   divided by   2¹   = 2^{(10 - 1)} = 2⁹

Dividing exponents :

 4.2    5¹⁰   divided by   5³   = 5^{(10 - 3)} = 5⁷

Final result :

  (32•349•72•29•57)