Solution - Simplification or other simple results

Step  1  :

 1.1     10 = 2•5

(10)⁶ = (2•5)⁶ = 2⁶ • 5⁶

Equation at the end of step  1  :

  ((3 • (102)) • 3) • (26•56)

Step  2  :

 2.1     10 = 2•5

(10)² = (2•5)² = 2² • 5²

Equation at the end of step  2  :

  ((3 • (22•52)) • 3) • (26•56)

Step  3  :

Equation at the end of step  3  :

  ((3•22•52) • 3) • (26•56)

Step  4  :

Multiplying exponents :

 4.1    3¹  multiplied by  3¹   = 3^{(1 + 1)} = 3²

Equation at the end of step  4  :

  (32•22•52) • (26•56)

Step  5  :

Multiplying exponents :

 5.1    2²  multiplied by  2⁶   = 2^{(2 + 6)} = 2⁸

Multiplying exponents :

 5.2    5²  multiplied by  5⁶   = 5^{(2 + 6)} = 5⁸

Final result :

  (32•28•58)