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  :

  (4 • (105)) -  (8 • (22•52))

Step  2  :

Raising to a Power :

 2.1    2³  multiplied by  2²   = 2^{(3 + 2)} = 2⁵

Equation at the end of step  2  :

  (4 • (105)) -  (25•52)

Step  3  :

 3.1     10 = 2•5

(10)⁵ = (2•5)⁵ = 2⁵ • 5⁵

Equation at the end of step  3  :

  (4 • (25•55)) -  (25•52)

Step  4  :

Multiplying exponents :

 4.1    2²  multiplied by  2⁵   = 2^{(2 + 5)} = 2⁷

Equation at the end of step  4  :

  (27•55) -  (25•52)

Step  5  :

Step  6  :

Pulling out like terms :

 6.1     Pull out like factors :

   2⁷ • 5⁵ - 800  =   4 • (1 - 200) 

Final result :

  4 • (1 - 200)