Solution - Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "*-2" was replaced by "*(-2)". 1 more similar replacement(s)

Step  1  :

Equation at the end of step  1  :

  ((2•(-23))•(22))-(-6•22)

Step  2  :

Negative Number raised to an Odd Exponent :

 2.1    2¹  multiplied by  2²   = 2^{(1 + 2)} = 2³

Equation at the end of step  2  :

  ((2 • (-23)) • (22)) -  ( -23•3)

Step  3  :

Equation at the end of step  3  :

  ((2 • (-23)) • 22) -  ( -23•3)

Step  4  :

 4.1   

Negative number raised to an odd power is negative

To show this we begin with (-7)⁵ ,a negative number raised to an odd exponent:

(-7)⁵ can be written as (-7)•(-7)•(-7)•(-7)•(-7)

Now, using the rule that says minus times minus is plus, (-7)⁵ can be written as (49)•(49)•(-7) which is a negative number. 

 We showed that (-7)⁵ is a negative number  

 Using the same arguments as above, replacing (-7) by any negative number, and replacing the exponent 5 by any odd exponent, we proved which had to be proved  

 

Equation at the end of step  4  :

  ((2 •  -23) • 22) -  ( -23•3)

Step  5  :

Multiplying exponents :

 5.1    2¹  multiplied by  2³   = 2^{(1 + 3)} = 2⁴

Equation at the end of step  5  :

  ( -24 • 22) -  ( -23•3)
 Step  6  :

Final result :

  -40