Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

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

(2): "1.28" was replaced by "(128/100)".

Step  1  :

 1.1     10 = 2•5

(10)⁹ = (2•5)⁹ = 2⁹ • 5⁹

Equation at the end of step  1  :

   128
  (——— • (10-6)) • (29•59)
   100

Step  2  :

 2.1     10 = 2•5

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

Equation at the end of step  2  :

   128
  (——— • ((2)(-6)•(5)(-6))) • (29•59)
   100

Step  3  :

            32
 Simplify   ——
            25

Equation at the end of step  3  :

   32
  (—— • ((2)(-6)•(5)(-6))) • (29•59)
   25

Step  4  :

Multiplying exponents :

 4.1    5²  multiplied by  5⁶   = 5^{(2 + 6)} = 5⁸

Dividing exponents :

 4.2    2⁵   divided by   2⁶   = 2^{(5 - 6)} = 2^(-1) = ¹/_2¹ = ¹/₂

Equation at the end of step  4  :

     1  
  —————— • (29•59)
  (58•2)

Step  5  :

Dividing exponents :

 5.1    2⁹   divided by   2¹   = 2^{(9 - 1)} = 2⁸

Dividing exponents :

 5.2    5⁹   divided by   5⁸   = 5^{(9 - 8)} = 5¹ = 5

Final result :

  1280