Solution - Simplification or other simple results

Step  1  :

 1.1     10 = 2•5

(10)⁸ = (2•5)⁸ = 2⁸ • 5⁸

Equation at the end of step  1  :

  (106) • (28•58)

Step  2  :

 2.1     10 = 2•5

(10)⁶ = (2•5)⁶ = 2⁶ • 5⁶

Equation at the end of step  2  :

  (26•56) • (28•58)

Step  3  :

Multiplying exponents :

 3.1    2⁶  multiplied by  2⁸   = 2^{(6 + 8)} = 2¹⁴

Multiplying exponents :

 3.2    5⁶  multiplied by  5⁸   = 5^{(6 + 8)} = 5¹⁴

Final result :

  (214•514)