Question

when the following expressions are
for example 3to the zero power does it equal =0

Answer 1

x^(0) = 1
anything to the exponent zero is equal to 1

Answer 2

Note that

x^(-1) = 1/x
and
x^(1) = x

so
x/x = x^(1)x^(-1) = x^(0) = 1
this makes sense because
x/x = 1

remember add exponents when multiplying

Answer 3

thus 1 + (-1) = 0

Answer 4

that is why any number to the power of zero is equal to 1

Answer 5

so 3^(0) =1

Answer 6

3^(-1) = 1/3
3^(1) = 3

thus

3/3 = 3^(1)3^(-1) = 3^(0) = 1
3/3 = 1

Answer 7

thus
3^(0) =1

anything to the power of zero equals 1

(x-1)^(0) = 1
34343^(0) = 1
etc..

Answer 8

thank you

Answer 9

Not trying to be nitpicky, but 0^0 is indeterminate. Everything else is 1.

Answer 10

not nitpicking bmp of course there are exceptions to the rule

(1/0)^(0) =/= 1

Answer 11

but that is a more relevant case and I'm glad you brought it up

Answer 12

?
I just started learning this yesterday so in all due respect im confused about indeterminate etc

Answer 13

dont worry about it deenarae just remember what I showed you and remember that 0^(0) is not solvable/cannot be determined.

Answer 14

i thought you said it equals 1

Answer 15

@Australopithecus Thanks for not taking it badly. I wasn't trying to be a smart retrice just trying to be more complete. :-)

Answer 16

everything equals 1

but you cannot divide by 0

thus if you set something up like this

0/0 =/= 1
because you are not allowed to divide by zero in mathematics.

Answer 17

the reason you cannot divide by zero is because the concept of nothing going into something doesn't make sense

Answer 18

so its undefined correct

Answer 19

correct

Answer 20

ok thanks much makes sense

Answer 21

everything else is equal to 1

Answer 22

so the zero power of 3 =1

Answer 23

yes

Answer 24

k

Answer 25

if you have any other questions please feel free to ask

Answer 26

ty