Is the following statement always, never, or sometimes true?
A number raised to a negative exponent is negative.
always
never
sometimes
sometimes?
1. B. 1/45
2. A. mq^2/n^4
3. C. 4.2 x 10^-3
4. A. 6,120
5. D. 4 x 10^5
6. A. 8.1 x 10^-5
7. B. 1/2
8. C. Sometimes
9. A. 64x^8y^11
10. C. 1.28r^2/t^9
Agree
The statement "A number raised to a negative exponent is negative" is actually never true. When a number is raised to a negative exponent, it does not become negative. Instead, it becomes the reciprocal of the number raised to the positive exponent.
To understand this concept, let's consider an example:
Suppose we have the number 2 raised to the power of -3, which can be written as 2^(-3).
To evaluate this expression, we need to understand that a negative exponent represents the reciprocal of the number with a positive exponent. So, 2^(-3) is the same as 1 / (2^3).
Now, 2^3 is equal to 2 * 2 * 2, which equals 8.
Therefore, 1 / 8 is the value of 2^(-3), which is a positive fraction and not negative.