Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

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

(2): "1.55" was replaced by "(155/100)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

  155
  ——— ÷ ((2)(-3)•(5)(-3))
  100

Step  2  :

            31
 Simplify   ——
            20

Equation at the end of step  2  :

  31
  —— ÷ ((2)(-3)•(5)(-3))
  20

Step  3  :

         31      
 Divide  ——  by  ((2)(-3)•(5)(-3))
         20      

 3.1    Dividing fractions

To divide fractions, write the divison as multiplication by the reciprocal of the divisor :

31        1          31     (23•53)
——  ÷  ———————   =   ——  •  ———————
20     (23•53)       20        1   

Dividing exponents :

 3.2    2³   divided by   2²   = 2^{(3 - 2)} = 2¹ = 2

Dividing exponents :

 3.3    5³   divided by   5¹   = 5^{(3 - 1)} = 5²

Final result :

  1550