Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

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

Step  1  :

 1.1     10 = 2•5

(10)^-1 = (2•5)^(-1) = (2)^(-1) • (5)^(-1)

Equation at the end of step  1  :

  (6 • (106)) • (4 • ((2)(-1)•(5)(-1)))

Step  2  :

Raising to a Power :

 2.1    2²   divided by   2¹   = 2^{(2 - 1)} = 2¹ = 2

Equation at the end of step  2  :

                2
  (6 • (106)) • —
                5

Step  3  :

 3.1     10 = 2•5

(10)⁶ = (2•5)⁶ = 2⁶ • 5⁶

Equation at the end of step  3  :

                  2
  (6 • (26•56)) • —
                  5

Step  4  :

Multiplying exponents :

 4.1    2¹  multiplied by  2⁶   = 2^{(1 + 6)} = 2⁷

Equation at the end of step  4  :

              2
  (27•3•56) • —
              5

Step  5  :

Multiplying exponents :

 5.1    2⁷  multiplied by  2¹   = 2^{(7 + 1)} = 2⁸

Dividing exponents :

 5.2    5⁶   divided by   5¹   = 5^{(6 - 1)} = 5⁵

Final result :

  (28•3•55)