Anything multiplied by 0 is 0 right so why does x number raised to the power of 0 = 1? isnt it x^0 = x*0 (im turning grade 10 and i asked my teacher about this he told me its because its just what he was taught 💀)
In: Mathematics
No, x^0 has nothing to do with x*0. Think about the powers of 2
2^1 = 2
2^2 = 4
2^3 = 8
2^4 = 16
The exponent is the number of twos in that multiplication. What would make this work if there were _zero_ twos? 1, as in
1 = 1
1 * 2 = 2
1 * 2 * 2 =4
1 * 2 *2 * 2=8
Etc. also, remember that negative exponents cause you to put a 1/ over the result, as in:
2^-1 = 1/2
2^-2 = 1/4
If you start with the higher powers and go down, you’ll see it’s like dividing by 2, and it will be easy to see what should go there:
32
16
8
4
2
?????
1/2
1/4
1/8
1/16
1/32
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