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  :

  (7 • (1012)) • (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  :

  (7 • (1012)) • (25•53)

Step  3  :

 3.1     10 = 2•5

(10)¹² = (2•5)¹² = 2¹² • 5¹²

Equation at the end of step  3  :

  (7 • (212•512)) • (25•53)

Step  4  :

Equation at the end of step  4  :

  (7•212•512) • (25•53)

Step  5  :

Multiplying exponents :

 5.1    2¹²  multiplied by  2⁵   = 2^{(12 + 5)} = 2¹⁷

Multiplying exponents :

 5.2    5¹²  multiplied by  5³   = 5^{(12 + 3)} = 5¹⁵

Final result :

  (7•217•515)