Solution - Simplification or other simple results

Step  1  :

 1.1     10 = 2•5

(10)⁴ = (2•5)⁴ = 2⁴ • 5⁴

Equation at the end of step  1  :

  (108) • (24•54)

Step  2  :

 2.1     10 = 2•5

(10)⁸ = (2•5)⁸ = 2⁸ • 5⁸

Equation at the end of step  2  :

  (28•58) • (24•54)

Step  3  :

Multiplying exponents :

 3.1    2⁸  multiplied by  2⁴   = 2^{(8 + 4)} = 2¹²

Multiplying exponents :

 3.2    5⁸  multiplied by  5⁴   = 5^{(8 + 4)} = 5¹²

Final result :

  (212•512)