Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

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

(2): "1.4" was replaced by "(14/10)".

Step  1  :

 1.1     10 = 2•5

(10)² = (2•5)² = 2² • 5²

Equation at the end of step  1  :

   14
  (—— • (22•52))-5
   10

Step  2  :

            7
 Simplify   —
            5

Equation at the end of step  2  :

   7
  (— • (22•52))-5
   5

Step  3  :

Raising to a Power :

 3.1    5²   divided by   5¹   = 5^{(2 - 1)} = 5¹ = 5

Equation at the end of step  3  :

  140-5

Step  4  :

 4.1     140 = 22•5•7

(140)^-5 = (2²•5•7)^(-5) = (2)^(-10) • (5)^(-5) • (7)^(-5)

Final result :

       1                                        
  ——————————— = 1.85934 • 10-11 
  (210•55•75)