Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-6" was replaced by "^(-6)".

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

Step  1  :

 1.1     10 = 2•5

(10)^-6 = (2•5)^(-6) = (2)^(-6) • (5)^(-6)

Equation at the end of step  1  :

  375
  ——— • ((2)(-6)•(5)(-6))
  10 

Step  2  :

            75
 Simplify   ——
            2 

Equation at the end of step  2  :

  75
  —— • ((2)(-6)•(5)(-6))
  2 

Step  3  :

Multiplying exponents :

 3.1    2¹  multiplied by  2⁶   = 2^{(1 + 6)} = 2⁷

Dividing exponents :

 3.2    5²   divided by   5⁶   = 5^{(2 - 6)} = 5^(-4) = ¹/_5⁴

Final result :

     3              
  ——————— = 0.00004 
  (27•54)