Why is 3 raised to the 0 power equals to 3 raised to the 1st Power?

Answer 1

it isn't.

3^0 = 1

3^1 =3

Any number except 0 raised to the 0 power = 1 (0 raised to any power is still 0)

any number raised to the 1 power = the original number.

You can think of exponentiation this way:

X^n = 1*X*X... X Using n X's

That makes 3^1 = 1*3=3 and 3^0 = 1 because there's 0 3's

Answer 2

It isn't!! 3^0 = 1 and 3^1 = 3

And, BTW, 0^0 is *not* 0, it is undefined.

This seems to get brought up every 3 or 4 days.

0^0 is undefined since, if you say it's 0, then that implies
(0^1) / (0^1) = 0^(1-1) = 0^0 = 0 But
(0^1) / (0^1) = 0/0 = undefined.

The moral of the story is that you have to be kinda careful when you start using 0's around divisions and exponentiations

Answer 3

FredHH has the right idea for the most part

Any number raised to 1 gives you the number it self so 3^1 =3
Any number raised to 0 give you 1. So 3^0=1

Now often we find 0^0 is defined to be equal to 1 (but not always). You can worry about this headache if and when you choose to major in Math.

Answer 4

because raising 3 into 0 is = 3 while 3 raise to 1 is=3

Answer 5

Odd question, FredHH is correct
3^0 = 1
3^1 = 3
3^2 = 9

Answer 6

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