Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-2" was replaced by "^(-2)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

  (0 -  (5 • (106))) • (3 • ((2)(-2)•(5)(-2)))

Step  2  :

Equation at the end of step  2  :

                        3 
  (0 -  (5 • (106))) • ———
                       100

Step  3  :

 3.1     10 = 2•5

(10)⁶ = (2•5)⁶ = 2⁶ • 5⁶

Equation at the end of step  3  :

                          3 
  (0 -  (5 • (26•56))) • ———
                         100

Step  4  :

Multiplying exponents :

 4.1    5¹  multiplied by  5⁶   = 5^{(1 + 6)} = 5⁷

Equation at the end of step  4  :

                    3 
  (0 -  (57•26)) • ———
                   100

Step  5  :

Dividing exponents :

 5.1    5⁷   divided by   5²   = 5^{(7 - 2)} = 5⁵

Dividing exponents :

 5.2    2⁶   divided by   2²   = 2^{(6 - 2)} = 2⁴

Final result :

  ( -55•24•3)