Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-7" was replaced by "^(-7)".

(2): "2.56" was replaced by "(256/100)".

Step  1  :

 1.1     10 = 2•5

(10)^-7 = (2•5)^(-7) = (2)^(-7) • (5)^(-7)

Equation at the end of step  1  :

  256
  ——— • ((2)(-7)•(5)(-7))
  100

Step  2  :

            64
 Simplify   ——
            25

Equation at the end of step  2  :

  64
  —— • ((2)(-7)•(5)(-7))
  25

Step  3  :

Multiplying exponents :

 3.1    5²  multiplied by  5⁷   = 5^{(2 + 7)} = 5⁹

Dividing exponents :

 3.2    2⁶   divided by   2⁷   = 2^{(6 - 7)} = 2^(-1) = ¹/_2¹ = ¹/₂

Final result :

     1                                    
  —————— = 2.56000 • 10-7 
  (59•2)