Solution - Power equations

Step  1  :

            4
 Simplify   —
            5

Equation at the end of step  1  :

            4
  100000 • (—)4)
            5

Step  2  :

 2.1     4 = 22

(4)⁴ = (2²)⁴ = 2⁸

Equation at the end of step  2  :

           28
  100000 • ——
           54

Step  3  :

Multiplying exponents :

 3.1    2⁵  multiplied by  2⁸   = 2^{(5 + 8)} = 2¹³

Dividing exponents :

 3.2    5⁵   divided by   5⁴   = 5^{(5 - 4)} = 5¹ = 5

Final result :

  (213•5)