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Bas_tet [7]
3 years ago
9

Why can’t you raise 0 to a negative exponent?

Mathematics
1 answer:
Xelga [282]3 years ago
4 0

Step-by-step explanation:

To know this, you first have to know what a negative exponent is. A positive exponent multiplies the base by itself a given amount of times, but a negative exponent makes a fraction with 1 in the numerator and the base and exponent in the denominator. For example:

2^{-2} = \frac{1}{2^2} = \frac{1}{4}

So let's try to do the same thing with 0 with a negative exponent.

0^{-2} = \frac{1}{0^2} = \frac{1}{0}

This is a big no-no. You can <u>never</u> have 0 as the denominator since it is undefined. Therefore, you can't raise 0 to a negative exponent.


I really hope this helps you =)

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