2006-10-10 14:59:09 · 3 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
That statement is true for every single value of x E R other than 0. Why? Because any number to a negative power is equal to 1 divided by that number to its power ; so:
x^-18 = 1/x^18 which is > than 1/x^20 . Ok?
2006-10-10 15:06:48 · answer #1 · answered by bohemian 1 · 0⤊ 0⤋
hmmm.. for any value of x: x > 1
why? because if 0 < x < 1 then it will be getting larger for higher negative powers and at 1 it is always the value 1, but for x > 1 the number will be taking a negative power of a number which is the inverse of that number or a fraction less than 1... and any fraction less than 1 taken to a higher power will be smaller than one taken to a smaller power.
2006-10-10 22:10:05 · answer #2 · answered by ♥Tom♥ 6 · 0⤊ 0⤋
x^(-18)= 1/x^18
x^(-20)= 1/x^20
since x^18 is less then x^20 the 1/x^18 is always greater then x^(-20) except for x=1 when they are the same and both equal 1
answer: for x>1
2006-10-10 22:08:12 · answer #3 · answered by Anonymous · 0⤊ 0⤋