Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "50.1" was replaced by "(501/10)".

Step  1  :

 1.1     1010 = 2•5•101

(1010)³ = (2•5•101)³ = 2³ • 5³ • 101³

Equation at the end of step  1  :

  501
  ——— • (23•53•1013)
  10 

Step  2  :

            501
 Simplify   ———
            10 

Equation at the end of step  2  :

  501
  ——— • (23•53•1013)
  10 

Step  3  :

Dividing exponents :

 3.1    2³   divided by   2¹   = 2^{(3 - 1)} = 2²

Dividing exponents :

 3.2    5³   divided by   5¹   = 5^{(3 - 1)} = 5²

Final result :

  (3•167•22•52•1013)