Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-3" was replaced by "^(-3)".

(2): "6." was replaced by "(6/1)".

Step  1  :

 1.1     10 = 2•5

(10)^-3 = (2•5)^(-3) = (2)^(-3) • (5)^(-3)

Equation at the end of step  1  :

   6
  (— • ((2)(-3)•(5)(-3)))2
   1

Step  2  :

            6
 Simplify   —
            1

Equation at the end of step  2  :

  (6 • ((2)(-3)•(5)(-3)))2

Step  3  :

Raising to a Power :

 3.1    2¹   divided by   2³   = 2^{(1 - 3)} = 2^(-2) = ¹/_2²

Equation at the end of step  3  :

   3 
 (———)2
  500

Step  4  :

 4.1     500 = 2²•5³ (500)² = (2²•5³)² = 2⁴ • 5⁶

Final result :

     32             
  ——————— = 0.00004 
  (24•56)