Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

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

(2): ".8" was replaced by "(8/10)".

Step  1  :

            4
 Simplify   —
            5

Equation at the end of step  1  :

           4
  (10-8) • —
           5

Step  2  :

 2.1     10 = 2•5

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

Equation at the end of step  2  :

                      4
  ((2)(-8)•(5)(-8)) • —
                      5

Step  3  :

Multiplying exponents :

 3.1    5⁸  multiplied by  5¹   = 5^{(8 + 1)} = 5⁹

Dividing exponents :

 3.2    2²   divided by   2⁸   = 2^{(2 - 8)} = 2^(-6) = ¹/_2⁶

Final result :

     1                                     
  ——————— = 8.00000 • 10-9 
  (26•59)