Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

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

(2): "7.888" was replaced by "(7888/1000)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

  7888
  ———— • ((2)(-6)•(5)(-6))
  1000

Step  2  :

            986
 Simplify   ———
            125

Equation at the end of step  2  :

  986
  ——— • ((2)(-6)•(5)(-6))
  125

Step  3  :

Multiplying exponents :

 3.1    5³  multiplied by  5⁶   = 5^{(3 + 6)} = 5⁹

Dividing exponents :

 3.2    2¹   divided by   2⁶   = 2^{(1 - 6)} = 2^(-5) = ¹/_2⁵

Final result :

    493                                    
  ——————— = 7.88800 • 10-6 
  (59•25)