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  :

  (106) • ((2)(-2)•(5)(-2))

Step  2  :

 2.1     10 = 2•5

(10)⁶ = (2•5)⁶ = 2⁶ • 5⁶

Equation at the end of step  2  :

  (26•56) • ((2)(-2)•(5)(-2))

Step  3  :

Dividing exponents :

 3.1    2⁶   divided by   2²   = 2^{(6 - 2)} = 2⁴

Dividing exponents :

 3.2    5⁶   divided by   5²   = 5^{(6 - 2)} = 5⁴

Final result :

  (24•54)