Question

What is 2X to the power of 3 divided by -8X to the power of 4?

Answer 1

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