Solution - Simplification or other simple results

Step  1  :

 1.1     10 = 2•5

(10)³ = (2•5)³ = 2³ • 5³

Equation at the end of step  1  :

  (3 • (104)) • (8 • (23•53))

Step  2  :

Raising to a Power :

 2.1    2³  multiplied by  2³   = 2^{(3 + 3)} = 2⁶

Equation at the end of step  2  :

  (3 • (104)) • (26•53)

Step  3  :

 3.1     10 = 2•5

(10)⁴ = (2•5)⁴ = 2⁴ • 5⁴

Equation at the end of step  3  :

  (3 • (24•54)) • (26•53)

Step  4  :

Equation at the end of step  4  :

  (3•24•54) • (26•53)

Step  5  :

Multiplying exponents :

 5.1    2⁴  multiplied by  2⁶   = 2^{(4 + 6)} = 2¹⁰

Multiplying exponents :

 5.2    5⁴  multiplied by  5³   = 5^{(4 + 3)} = 5⁷

Final result :

  (3•210•57)