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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Anything (except zero) to the power of zero is 1. If written as 7a0, this is operated as 7 x (a0) = 7 x 1 = 7. If written as (7a)0, it is simply 1 by the first statement.
Any number multiplied by 1 will always come out to be the original number. Any number multiplied by 0 will always equal 0. (7 x 1 = 7) (7 x 0 = 0)
1+7=8 8-7=1 1+3=4 4+3=7 7-7=0 0+7=7 7-7=0 x=0+3 the next number is 3
When a number is raised to a negative exponent, it is equivalent to its reciprocal raised to the positive exponent. Therefore, x to the power of -7 is equal to 1 divided by x to the power of 7, or 1/x^7.
It is the same as 5 to the power of 7 and it equals 78125