Solution - Simplification or other simple results

Step  1  :

 1.1     10 = 2•5

(10)⁵ = (2•5)⁵ = 2⁵ • 5⁵

Equation at the end of step  1  :

  500 • (25•55)

Step  2  :

Multiplying exponents :

 2.1    2²  multiplied by  2⁵   = 2^{(2 + 5)} = 2⁷

Multiplying exponents :

 2.2    5³  multiplied by  5⁵   = 5^{(3 + 5)} = 5⁸

Final result :

  (27•58)