The following is not a proof or a reason, but it's a demonstration
that might be intuitively satisfying:
'X' mentioned 4 times: X times X times X times X = X to the fourth power
'X' mentioned 3 times: X times X times X = X to the third power
'X' mentioned 2 times: X times X = X to the second power
'X' mentioned 1 time: X = X to the first power
But this is not the question you should be asking. What you should really be
worrying about is:
"Why is a number to the zero power equal 1 ?" Answer:Let's use 3 as an example:
33=27
32=9
31=3 <--- The one you asked about
30=1
Spreading this out so we can see what's going on:
33= 1x3x3x3=27 (one times three, three times)
32=1x3x3=9
31=1x3=3 <--- The one you asked about
30=1x(no number)=1
So a number raised to a power is one times that number the same number of times as the power.
For a number raised to the first power it is one times that number once, which equals the number itself.
Chat with our AI personalities
If ' A ' is a number, then that's one of them.The other number must be the same as the first number, becausetwo different numbers can't both be equal to the same number.So both of the two numbers that equal ' A ' must be the same number that ' A ' is.
Yes because any number raised to the power of zero is always equal to 1
0
There are an infinite number of correct answers.The two fractions areany number/any denominatorandthe same denominator minus the first number/the same denominator
Any number to the power of 1 is that same number.