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anyanavicka [17]
2 years ago
15

Why is everything 1 when raised to the 0th power?

Mathematics
2 answers:
Nitella [24]2 years ago
5 0

Answer:

Step-by-step explanation:

Use the laws of exponents, specifically the law for division.

When dividing, the exponents are subtracted.

For example, \frac{x^{8} }{x^{2} }=x^{8-2} =x^{6}

Now let's do an example where the exponent will equal zero.

\frac{5^{2} }{5^{2} } = 5^{2-2}=5^0=1

Now let's see why this equals 1. If you actually solve 5^2 it equals 25. So, let's solve the numerator and denominator and simplify.

\frac{5^{2} }{5^{2} } = \frac{25}{25} =1

As you can see, an exponent of 0 represents having the same number in the numerator and denominator, which when solved it equals 1.

olga_2 [115]2 years ago
3 0
Yeah dang i have no idea. great question tho
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