Solution - Simplification or other simple results

Step  1  :

 1.1     10 = 2•5

(10)⁵ = (2•5)⁵ = 2⁵ • 5⁵

Equation at the end of step  1  :

  (3 • (106)) • (5 • (25•55))

Step  2  :

Raising to a Power :

 2.1    5¹  multiplied by  5⁵   = 5^{(1 + 5)} = 5⁶

Equation at the end of step  2  :

  (3 • (106)) • (56•25)

Step  3  :

 3.1     10 = 2•5

(10)⁶ = (2•5)⁶ = 2⁶ • 5⁶

Equation at the end of step  3  :

  (3 • (26•56)) • (56•25)

Step  4  :

Equation at the end of step  4  :

  (3•26•56) • (56•25)

Step  5  :

Multiplying exponents :

 5.1    2⁶  multiplied by  2⁵   = 2^{(6 + 5)} = 2¹¹

Multiplying exponents :

 5.2    5⁶  multiplied by  5⁶   = 5^{(6 + 6)} = 5¹²

Final result :

  (3•211•512)