Solution - Simplification or other simple results

Step  1  :

 1.1     10 = 2•5

(10)² = (2•5)² = 2² • 5²

Equation at the end of step  1  :

  (5 • (103)) • (4 • (22•52))

Step  2  :

Raising to a Power :

 2.1    2²  multiplied by  2²   = 2^{(2 + 2)} = 2⁴

Equation at the end of step  2  :

  (5 • (103)) • (24•52)

Step  3  :

 3.1     10 = 2•5

(10)³ = (2•5)³ = 2³ • 5³

Equation at the end of step  3  :

  (5 • (23•53)) • (24•52)

Step  4  :

Multiplying exponents :

 4.1    5¹  multiplied by  5³   = 5^{(1 + 3)} = 5⁴

Equation at the end of step  4  :

  (54•23) • (24•52)

Step  5  :

Multiplying exponents :

 5.1    5⁴  multiplied by  5²   = 5^{(4 + 2)} = 5⁶

Multiplying exponents :

 5.2    2³  multiplied by  2⁴   = 2^{(3 + 4)} = 2⁷

Final result :

  (56•27)