Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-8" was replaced by "^(-8)".

(2): "5.888" was replaced by "(5888/1000)".

Step  1  :

 1.1     10 = 2•5

(10)^-8 = (2•5)^(-8) = (2)^(-8) • (5)^(-8)

Equation at the end of step  1  :

  5888
  ———— • ((2)(-8)•(5)(-8))
  1000

Step  2  :

            736
 Simplify   ———
            125

Equation at the end of step  2  :

  736
  ——— • ((2)(-8)•(5)(-8))
  125

Step  3  :

Multiplying exponents :

 3.1    5³  multiplied by  5⁸   = 5^{(3 + 8)} = 5¹¹

Dividing exponents :

 3.2    2⁵   divided by   2⁸   = 2^{(5 - 8)} = 2^(-3) = ¹/_2³

Final result :

     23                                     
  ———————— = 5.88800 • 10-8 
  (511•23)