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 • (102)) • (6 • (23•53))

Step  2  :

Raising to a Power :

 2.1    2¹  multiplied by  2³   = 2^{(1 + 3)} = 2⁴

Equation at the end of step  2  :

  (7 • (102)) • (24•3•53)

Step  3  :

 3.1     10 = 2•5

(10)² = (2•5)² = 2² • 5²

Equation at the end of step  3  :

  (7 • (22•52)) • (24•3•53)

Step  4  :

Equation at the end of step  4  :

  (7•22•52) • (24•3•53)

Step  5  :

Multiplying exponents :

 5.1    2²  multiplied by  2⁴   = 2^{(2 + 4)} = 2⁶

Multiplying exponents :

 5.2    5²  multiplied by  5³   = 5^{(2 + 3)} = 5⁵

Final result :

  (7•26•55•3)