Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "3.8" was replaced by "(38/10)". 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  :

   46         38
  (——•(108))•(——•(26•56))
   10         10

Step  2  :

            19
 Simplify   ——
            5 

Equation at the end of step  2  :

   46             19
  (—— • (108)) • (—— • (26•56))
   10             5 

Step  3  :

Raising to a Power :

 3.1    5⁶   divided by   5¹   = 5^{(6 - 1)} = 5⁵

Equation at the end of step  3  :

   46
  (—— • (108)) • (19•26•55)
   10

Step  4  :

 4.1     10 = 2•5

(10)⁸ = (2•5)⁸ = 2⁸ • 5⁸

Equation at the end of step  4  :

   46
  (—— • (28•58)) • (19•26•55)
   10

Step  5  :

            23
 Simplify   ——
            5 

Equation at the end of step  5  :

   23
  (—— • (28•58)) • (19•26•55)
   5 

Step  6  :

Dividing exponents :

 6.1    5⁸   divided by   5¹   = 5^{(8 - 1)} = 5⁷

Equation at the end of step  6  :

  (23•28•57) • (19•26•55)

Step  7  :

Multiplying exponents :

 7.1    2⁸  multiplied by  2⁶   = 2^{(8 + 6)} = 2¹⁴

Multiplying exponents :

 7.2    5⁷  multiplied by  5⁵   = 5^{(7 + 5)} = 5¹²

Final result :

  (23•214•512•19)