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     6 = 2•3

(6)^-2 = (2•3)^(-2) = (2)^(-2) • (3)^(-2)

Equation at the end of step  1  :

  (63) • ((2)(-2)•(3)(-2))

Step  2  :

 2.1     6 = 2•3

(6)³ = (2•3)³ = 2³ • 3³

Equation at the end of step  2  :

  (23•33) • ((2)(-2)•(3)(-2))

Step  3  :

Dividing exponents :

 3.1    2³   divided by   2²   = 2^{(3 - 2)} = 2¹ = 2

Dividing exponents :

 3.2    3³   divided by   3²   = 3^{(3 - 2)} = 3¹ = 3

Final result :

  6