Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "3.76" was replaced by "(376/100)".

Step  1  :

 1.1     10 = 2•5

(10)¹² = (2•5)¹² = 2¹² • 5¹²

Equation at the end of step  1  :

  376
  ——— • (212•512)
  100

Step  2  :

            94
 Simplify   ——
            25

Equation at the end of step  2  :

  94
  —— • (212•512)
  25

Step  3  :

Multiplying exponents :

 3.1    2¹  multiplied by  2¹²   = 2^{(1 + 12)} = 2¹³

Dividing exponents :

 3.2    5¹²   divided by   5²   = 5^{(12 - 2)} = 5¹⁰

Final result :

  (213•47•510)