Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

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

(2): "1.2" was replaced by "(12/10)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

   12
  (—— • ((2)(-5)•(5)(-5))) ÷ 4
   10

Step  2  :

            6
 Simplify   —
            5

Equation at the end of step  2  :

  6
  — • ((2)(-5)•(5)(-5))) ÷ 4
  5

Step  3  :

Multiplying exponents :

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

Dividing exponents :

 3.2    2¹   divided by   2⁵   = 2^{(1 - 5)} = 2^(-4) = ¹/_2⁴

Equation at the end of step  3  :

     3   
  ——————— ÷ 4
  (56•24)

Step  4  :

            3         
 Divide  ———————  by  4
         (56•24)      

Multiplying exponents :

 4.1    2⁴  multiplied by  2²   = 2^{(4 + 2)} = 2⁶

Final result :

     3                                     
  ——————— = 3.00000 • 10-6 
  (56•26)