Solution - Simplification or other simple results

Step  1  :

 1.1     10 = 2•5

(10)⁴ = (2•5)⁴ = 2⁴ • 5⁴

Equation at the end of step  1  :

  (7 • (105)) • (8 • (24•54))

Step  2  :

Raising to a Power :

 2.1    2³  multiplied by  2⁴   = 2^{(3 + 4)} = 2⁷

Equation at the end of step  2  :

  (7 • (105)) • (27•54)

Step  3  :

 3.1     10 = 2•5

(10)⁵ = (2•5)⁵ = 2⁵ • 5⁵

Equation at the end of step  3  :

  (7 • (25•55)) • (27•54)

Step  4  :

Equation at the end of step  4  :

  (7•25•55) • (27•54)

Step  5  :

Multiplying exponents :

 5.1    2⁵  multiplied by  2⁷   = 2^{(5 + 7)} = 2¹²

Multiplying exponents :

 5.2    5⁵  multiplied by  5⁴   = 5^{(5 + 4)} = 5⁹

Final result :

  (7•212•59)