Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "8.55" was replaced by "(855/100)". 2 more similar replacement(s)

Step  1  :

            171
 Simplify   ———
            20 

Equation at the end of step  1  :

   15            171
  (—— • (108)) • ———
   10            20 

Step  2  :

 2.1     10 = 2•5

(10)⁸ = (2•5)⁸ = 2⁸ • 5⁸

Equation at the end of step  2  :

   15              171
  (—— • (28•58)) • ———
   10              20 

Step  3  :

            3
 Simplify   —
            2

Equation at the end of step  3  :

   3              171
  (— • (28•58)) • ———
   2              20 

Step  4  :

Dividing exponents :

 4.1    2⁸   divided by   2¹   = 2^{(8 - 1)} = 2⁷

Equation at the end of step  4  :

              171
  (3•27•58) • ———
              20 

Step  5  :

Multiplying exponents :

 5.1    3¹  multiplied by  3²   = 3^{(1 + 2)} = 3³

Dividing exponents :

 5.2    2⁷   divided by   2²   = 2^{(7 - 2)} = 2⁵

Dividing exponents :

 5.3    5⁸   divided by   5¹   = 5^{(8 - 1)} = 5⁷

Final result :

  (33•25•57•19)