Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "7.5" was replaced by "(75/10)". 2 more similar replacement(s)

Step  1  :

            15
 Simplify   ——
            2 

Equation at the end of step  1  :

   41            15
  (—— • (106)) • ——
   10            2 

Step  2  :

 2.1     10 = 2•5

(10)⁶ = (2•5)⁶ = 2⁶ • 5⁶

Equation at the end of step  2  :

   41              15
  (—— • (26•56)) • ——
   10              2 

Step  3  :

            41
 Simplify   ——
            10

Equation at the end of step  3  :

   41              15
  (—— • (26•56)) • ——
   10              2 

Step  4  :

Dividing exponents :

 4.1    2⁶   divided by   2¹   = 2^{(6 - 1)} = 2⁵

Dividing exponents :

 4.2    5⁶   divided by   5¹   = 5^{(6 - 1)} = 5⁵

Equation at the end of step  4  :

               15
  (41•25•55) • ——
               2 

Step  5  :

Multiplying exponents :

 5.1    5⁵  multiplied by  5¹   = 5^{(5 + 1)} = 5⁶

Dividing exponents :

 5.2    2⁵   divided by   2¹   = 2^{(5 - 1)} = 2⁴

Final result :

  (41•24•56•3)