Solution - Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "*-8" was replaced by "*(-8)". 1 more similar replacement(s)

Step  1  :

 1.1   Negative number raised to an even power is positive 

For example let's look at (-7)⁶ , where (-7) , a negative number, is raised to 6 , an even exponent :

(-7)⁶ can be written as (-7)•(-7)•(-7)•(-7)•(-7)•(-7)

Now, using the rule that says minus times minus is plus, (-7)⁶ can be written as (49)•(49)•(49) which in turn can be written as (7)•(7)•(7)•(7)•(7)•(7) or 7⁶ which is positive.

We proved that (-7)⁶ is equal to (7)⁶ which is a positive number

Using the same arguments as above, replacing (-7) by any negative number, and replacing the exponent 6 by any even exponent, we proved which had to be proved

 1.2     8 = 2³ (-8)² = (2³)² = 2⁶

Equation at the end of step  1  :

  (8 • (-12)) -  (6 • 26)

Step  2  :

Negative Number raised to an Even Exponent :

 2.1    2¹  multiplied by  2⁶   = 2^{(1 + 6)} = 2⁷

Equation at the end of step  2  :

  (8 • (-12)) -  (27•3)

Step  3  :

Final result :

  -376