Solution - Simplification or other simple results
14/5=2.80000
Step by Step Solution
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
Equation at the end of step 1 :
(2-(32))
—————————•2
((22)-32)
Step 2 :
Equation at the end of step 2 :
(2 - (32))
—————————— • 2
(22 - 32)
Step 3 :
Equation at the end of step 3 :
(2 - 32)
———————— • 2
-5
Step 4 :
-7
Simplify ——
-5
Equation at the end of step 4 :
7
— • 2
5
Step 5 :
Final result :
14
—— = 2.80000
5
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