Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "86." was replaced by "(86/1)". 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  :

   144       86
  (——— • (10^——)) • (26•56)
   100       1 

Step  2  :

            86
 Simplify   ——
            1 

Equation at the end of step  2  :

   144
  (——— • (1086)) • (26•56)
   100

Step  3  :

 3.1     10 = 2•5

(10)⁸⁶ = (2•5)⁸⁶ = 2⁸⁶ • 5⁸⁶

Equation at the end of step  3  :

   144
  (——— • (286•586)) • (26•56)
   100

Step  4  :

            36
 Simplify   ——
            25

Equation at the end of step  4  :

   36
  (—— • (286•586)) • (26•56)
   25

Step  5  :

Multiplying exponents :

 5.1    2²  multiplied by  2⁸⁶   = 2^{(2 + 86)} = 2⁸⁸

Dividing exponents :

 5.2    5⁸⁶   divided by   5²   = 5^{(86 - 2)} = 5⁸⁴

Equation at the end of step  5  :

  (288•32•584) • (26•56)

Step  6  :

Multiplying exponents :

 6.1    2⁸⁸  multiplied by  2⁶   = 2^{(88 + 6)} = 2⁹⁴

Multiplying exponents :

 6.2    5⁸⁴  multiplied by  5⁶   = 5^{(84 + 6)} = 5⁹⁰

Final result :

  (294•32•590)