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ad-work [718]
3 years ago
6

Is the following statement always, never, or sometimes true?

Mathematics
2 answers:
Kobotan [32]3 years ago
6 0

We need to complete the statement that " A number raised to a negative exponent is ___ negative"

Consider a number 'a' raised to a negative exponent say '-m'.

a^{-m}

According to the law of exponents.

We get, a^{-m}=\frac{1}{a^{m}}

Now let us consider two cases:

Case 1 : If 'a' is a positive number, let a = 'x'.

Then, a^{-m}=x^{-m=}\frac{1}{x^{m}} which is positive.

Case 2: If 'a' is a negative number, let a= '-x '

Then, a^{-m}=(-x)^{-m=}\frac{1}{-x^{m}} which is negative.

Therefore, we can say that

" A number raised to a negative exponent is sometimes negative".


notsponge [240]3 years ago
3 0
The answer is sometimes
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