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  :

  (5 • (108)) • (4 • (23•53))

Step  2  :

Raising to a Power :

 2.1    2²  multiplied by  2³   = 2^{(2 + 3)} = 2⁵

Equation at the end of step  2  :

  (5 • (108)) • (25•53)

Step  3  :

 3.1     10 = 2•5

(10)⁸ = (2•5)⁸ = 2⁸ • 5⁸

Equation at the end of step  3  :

  (5 • (28•58)) • (25•53)

Step  4  :

Multiplying exponents :

 4.1    5¹  multiplied by  5⁸   = 5^{(1 + 8)} = 5⁹

Equation at the end of step  4  :

  (59•28) • (25•53)

Step  5  :

Multiplying exponents :

 5.1    5⁹  multiplied by  5³   = 5^{(9 + 3)} = 5¹²

Multiplying exponents :

 5.2    2⁸  multiplied by  2⁵   = 2^{(8 + 5)} = 2¹³

Final result :

  (512•213)