Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

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

(2): "25.6" was replaced by "(256/10)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

  256
  ——— • ((2)(-3)•(5)(-3))
  10 

Step  2  :

            128
 Simplify   ———
             5 

Equation at the end of step  2  :

  128
  ——— • ((2)(-3)•(5)(-3))
   5 

Step  3  :

Multiplying exponents :

 3.1    5¹  multiplied by  5³   = 5^{(1 + 3)} = 5⁴

Dividing exponents :

 3.2    2⁷   divided by   2³   = 2^{(7 - 3)} = 2⁴

Final result :

   16           
  ——— = 0.02560 
  625