Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "3.6" was replaced by "(36/10)".

Step  1  :

 1.1     10 = 2•5

(10)¹⁶ = (2•5)¹⁶ = 2¹⁶ • 5¹⁶

Equation at the end of step  1  :

   36
  (—— • (105)) • (216•516)
   10

Step  2  :

 2.1     10 = 2•5

(10)⁵ = (2•5)⁵ = 2⁵ • 5⁵

Equation at the end of step  2  :

   36
  (—— • (25•55)) • (216•516)
   10

Step  3  :

            18
 Simplify   ——
            5 

Equation at the end of step  3  :

   18
  (—— • (25•55)) • (216•516)
   5 

Step  4  :

Multiplying exponents :

 4.1    2¹  multiplied by  2⁵   = 2^{(1 + 5)} = 2⁶

Dividing exponents :

 4.2    5⁵   divided by   5¹   = 5^{(5 - 1)} = 5⁴

Equation at the end of step  4  :

  (26•32•54) • (216•516)

Step  5  :

Multiplying exponents :

 5.1    2⁶  multiplied by  2¹⁶   = 2^{(6 + 16)} = 2²²

Multiplying exponents :

 5.2    5⁴  multiplied by  5¹⁶   = 5^{(4 + 16)} = 5²⁰

Final result :

  (222•32•520)