Answer: 8 = 23 (-8)4 = (23)4 = 212
1/(2048x)
Step-by-step explanation: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
Dividing exponential expressions : x3 divided by x4 = x(3 - 4) = x(-1) = 1/x1 = 1/x
Final result :
1/2048x
im in middle school