Solution - Simplification or other simple results

Step  1  :

 1.1     10 = 2•5

(10)⁸ = (2•5)⁸ = 2⁸ • 5⁸

Equation at the end of step  1  :

  (2 • (103)) • (3 • (28•58))

Step  2  :

Equation at the end of step  2  :

  (2 • (103)) • (3•28•58)

Step  3  :

 3.1     10 = 2•5

(10)³ = (2•5)³ = 2³ • 5³

Equation at the end of step  3  :

  (2 • (23•53)) • (3•28•58)

Step  4  :

Multiplying exponents :

 4.1    2¹  multiplied by  2³   = 2^{(1 + 3)} = 2⁴

Equation at the end of step  4  :

  (24•53) • (3•28•58)

Step  5  :

Multiplying exponents :

 5.1    2⁴  multiplied by  2⁸   = 2^{(4 + 8)} = 2¹²

Multiplying exponents :

 5.2    5³  multiplied by  5⁸   = 5^{(3 + 8)} = 5¹¹

Final result :

  (212•511•3)