Solution - Simplification or other simple results
Step by Step Solution
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "*-144" was replaced by "*(-144)".
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
1.2 144 = 24•32 (-144)2 = (24•32)2 = 28 • 34
Equation at the end of step 1 :
0 - ((14414) • (28•34))
Step 2 :
2.1 144 = 24•32
(144)14 = (24•32)14 = 256 • 328
Equation at the end of step 2 :
0 - ((256•328) • (28•34))Step 3 :
Final result :
( -264•332)
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