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Look at the powers of any number, but as you'd asked, let's use 7:

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7^1 = 7

7^2 = 49

7^3 = 343

7^4 = 2,401

7^5 = 16,807

....and so on.

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To get from 7^5 to 7^4 we have to divide by 7.

16,807 divided by 7 is 2,401. (or 7^4)

And to get from 7^4 to 7^3 we have to divide by 7 again.

2,401 divided by 7 is 343 (or 7^3)

The logical idea is to continue doing this.

To go from 7^3 to 7^2 we should divide 7 again.

343 divided by 7 is 49. (or 7^2)

To go from 7^2 to 7^1 we should divide 7 yet again.

49 divided by 7 is (you guessed it) 7. (or 7^1)

Now for the ever important one. We will continue the same formula.

To get from 7^1 to 7^0, we should divide again by 7.

7 divided by 7 is.......drumroll please.......1!!!! (or 7^0!!!)

So 7^0 = 7^1 / 7 = 7/7 = 1.

This works for any nonzero number. 0^0 is undefined!!!

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I know it's confusing, but it does make sense (in theory lol) Hope I helped!!!!

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Q: Why does 7 to the 0 power equal 1?
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Related questions

How much is 7 to the power 0 equal to?

7^0 = 1.


What is 7 to the power of 0?

Anything to the power of 0 has an answer of 1. So 7⁰ = 1, as well as any other number you can think of.


What is 7 to 0 power?

Any value to the power of 'zero' is equal; to '1' So 7^0 = 1 Similarly 7,000,000^0 = 1 Similarly 0.000007^0 = 1


Why is 7 to the power of 0 not equal to zero?

75 divided by 73 = 72 by subtracting the powers Likewise 71 divided by 71 = 70 and so 7/7 = 1 Any number raised to the power 0 is always equal to 1 But any number times 0 is always equal to 0


What is -7 to the 0 power?

Any negative number to the power of 0 is always -1


Which is greater 8 to the power of 0 or 7 to the power of 1?

71 is greater.


Why is 7 to exponent 0 equal to 1?

why not !


What is 7 to the negative one power equal?

7 -1 same as 1/7 ===


How many integers are there that greater than or equal to -7 and less than or equal to 7?

-7 to -1 : there are 7 there. +1 to +7: there are 7 there. Then there is 0. Total 15


Why is 7 to the power of 0 1?

Why is 7^0 = 1 Algebraic proof. Let 'n' be any value Let 'n be raised to the power of 'a' Hence n^a Now if we divide n^a by n^a we have n^a/n^a and this cancels down to '1' Or we can write n^(a)/n^(a) = n^(a-a) = n^(0) , hence it equals '1' Remember when the lower /denominating index is a negative power ,when raised above the division line.


How do you make 8 5 7 2 6 1 equal 0?

(8 + 5 + 2) * (7 - 6 - 1) = 0


What is equivalent to 0.000 000 1?

10-7 because if you count the 0's then that will equal 7 and how the 1 is at the end and not the 0's that makes the 7 a negative.