Solution - Power equations

Step  1  :

 1.1     10 = 2•5

(10)² = (2•5)² = 2² • 5²

Equation at the end of step  1  :

Step  2  :

 2.1     10 = 2•5

(10)⁶ = (2•5)⁶ = 2⁶ • 5⁶

Equation at the end of step  2  :

Step  3  :

            (26•56)
 Simplify   ———————
            (22•52)

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)