Why is the answer of, "a number to the power of zero" 1 and not 0? ? show your work.

It helps to go back to how exponents first come up: as an abbreviation for lots of multiplications. We abbreviate a whole bunch of things in math - multiplication first comes up as an abbreviation for repeated addition; we could write out 3 + 3 + 3 + 3 + 3 + 3 every time we want to say "3, six times", but it's much more convenient to write it as "3 x 6" and save yourself the paper space and pencil lead.

Exponentiation comes as the next step up; when we've got something like 3 x 3 x 3 x 3 x 3 x 3 - 6 3's being multiplied together - we can abbreviate it with the exponent instead of writing out all of those individual 3's and multiplication signs. Here are the first few "powers" of 3 and their abbreviations:

Notice that each time the exponent goes up, our number gets multiplied by 3. What if we went in the other direction? We'd be doing the exact opposite thing as the exponents went down - we'd be dividing by 3 each time.

And we can continue this pattern one more time to find that

There's nothing special about our choice of number, by the way. We could say the same about 5:

or 7:

Or any number we want - any number raised to the 0 power will always give us 1, because any number divided by itself is 1.

a. the residual plot for model 1 has a random pattern and is a good fit for the data.

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?