Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "6.875" was replaced by "(6875/1000)".

Step  1  :

 1.1     10 = 2•5

(10)¹² = (2•5)¹² = 2¹² • 5¹²

Equation at the end of step  1  :

  6875
  ———— • (212•512)
  1000

Step  2  :

            55
 Simplify   ——
            8 

Equation at the end of step  2  :

  55
  —— • (212•512)
  8 

Step  3  :

Multiplying exponents :

 3.1    5¹  multiplied by  5¹²   = 5^{(1 + 12)} = 5¹³

Dividing exponents :

 3.2    2¹²   divided by   2³   = 2^{(12 - 3)} = 2⁹

Final result :

  (513•11•29)