Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "4.5" was replaced by "(45/10)". 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  :

   3     45
  ——— • (—— • (26•56))
  100    10

Step  2  :

            9
 Simplify   —
            2

Equation at the end of step  2  :

   3     9
  ——— • (— • (26•56))
  100    2

Step  3  :

Dividing exponents :

 3.1    2⁶   divided by   2¹   = 2^{(6 - 1)} = 2⁵

Equation at the end of step  3  :

   3 
  ——— • (32•25•56)
  100

Step  4  :

             3 
 Simplify   ———
            100

Equation at the end of step  4  :

   3 
  ——— • (32•25•56)
  100

Step  5  :

Multiplying exponents :

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

Dividing exponents :

 5.2    2⁵   divided by   2²   = 2^{(5 - 2)} = 2³

Dividing exponents :

 5.3    5⁶   divided by   5²   = 5^{(6 - 2)} = 5⁴

Final result :

  (33•23•54)