Solution - Power equations

Step  1  :

 1.1     10 = 2•5

(10)⁶ = (2•5)⁶ = 2⁶ • 5⁶

Equation at the end of step  1  :

Step  2  :

Equation at the end of step  2  :

Step  3  :

            (3•26•56)
 Simplify   —————————
               500   

Dividing exponents :

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

Dividing exponents :

 3.2    5⁶   divided by   5³   = 5^{(6 - 3)} = 5³

Final result :

  6000