Solution - Simplification or other simple results
-1/256=-0.00391
Step by Step Solution
Step 1 :
1.1 Raising to a negative exponent Raising a number to a negative exponent means 1 over that same number but now with a positive exponent. For example, x(-4) is equal to 1/x(4) 1.2 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
1.3 4 = 22 (-4)-4 = (22)(-4) = (2)(-8)
Equation at the end of step 1 :
((-1-3) • (2)(-8)) • 1
Step 2 :
Final result :
-1
——— = -0.00391
256
How did we do?
Please leave us feedback.