Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-5" was replaced by "^(-5)".

(2): "3.2" was replaced by "(32/10)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

  32
  —— • ((2)(-5)•(5)(-5))
  10

Step  2  :

            16
 Simplify   ——
            5 

Equation at the end of step  2  :

  16
  —— • ((2)(-5)•(5)(-5))
  5 

Step  3  :

Multiplying exponents :

 3.1    5¹  multiplied by  5⁵   = 5^{(1 + 5)} = 5⁶

Dividing exponents :

 3.2    2⁴   divided by   2⁵   = 2^{(4 - 5)} = 2^(-1) = ¹/_2¹ = ¹/₂

Final result :

     1             
  —————— = 0.00003 
  (56•2)