Question

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

Answer 1

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.

Answer 2

Yeah dang i have no idea. great question tho