Solution - Power equations

Step  1  :

            1
 Simplify   —
            2

Equation at the end of step  1  :

          1
  (104) • —
          2

Step  2  :

 2.1     10 = 2•5

(10)⁴ = (2•5)⁴ = 2⁴ • 5⁴

Equation at the end of step  2  :

            1
  (24•54) • —
            2

Step  3  :

Dividing exponents :

 3.1    2⁴   divided by   2¹   = 2^{(4 - 1)} = 2³

Final result :

  5000