how do you simplify this equation? (x^-2)^-1?
回答 (9)
✔ 最佳答案
Rule
(x^a)^b = x ^(ab)
x^(-2)^(-1) = x^2 = x²
i dont think its possible, ive tried everything i know
(x^-2)^-1
= 1/(x^-2)
= 1/(1/x^2)
= 1 ÷ 1/x^2
= 1 * x^2/1
= x^2/1
= x^2
When raising a power to a power, multiply the powers:
(x^-2)^-1 = x^[(-2)*(-1)] = x^2
The negative exponent triggers a reciprocal.
1/(x^2 - 2)
This is equal to
[ 1 / (x^2) ] ^-1
Then you just take the recipricol of that.
The ans is x^2
Hope that was clear.
The answer is x^2. I am 100 percent sure. This is why: when an exponent is raised to another power, they multiply, the formula is this: (x^m)^n = x^mn. So (x^-2)^-1 = x^(-2)(-1)= x^2.
收錄日期: 2021-05-01 10:11:58
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20080308193034AAldhxx
檢視 Wayback Machine 備份