Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-1" was replaced by "^(-1)".

(2): "37.5" was replaced by "(375/10)".

Step  1  :

 1.1     10 = 2•5

(10)^-1 = (2•5)^(-1) = (2)^(-1) • (5)^(-1)

Equation at the end of step  1  :

  375
  ——— • ((2)(-1)•(5)(-1))
  10 

Step  2  :

            75
 Simplify   ——
            2 

Equation at the end of step  2  :

  75
  —— • ((2)(-1)•(5)(-1))
  2 

Step  3  :

Multiplying exponents :

 3.1    2¹  multiplied by  2¹   = 2^{(1 + 1)} = 2²

Dividing exponents :

 3.2    5²   divided by   5¹   = 5^{(2 - 1)} = 5¹ = 5

Final result :

  15           
  —— = 3.75000 
  4