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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.
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∙ 14y ago
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What 2 numbers equal A?
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.
When a number is raised to zero does it have the same value as another number is raised to a zero?
Yes because any number raised to the power of zero is always equal to 1
What is less than -5 but equal to -5?
0
What are the two fractions when you add them together equal 1?
There are an infinite number of correct answers.The two fractions areany number/any denominatorandthe same denominator minus the first number/the same denominator
Why does 1.732050808 times 2 equal 3.000000001?
Not according to my Windows 7 (and my basic solar powered calculator) it doesn't !Both of them give the answer 3.464101616 - which is correct !But how can anybody trust a machine to give him an answer that he can't calculatefor himself ?It's true that the first number multiplied by 2 does not equal the second number specified in the question.But the first number to the second power (squared) is the same as the second number in the question.At least as far as my solar powered calculator is concerned.
What is the value of 7 to the first power?
Seven. Any number raised to the first power is equal to the same number.7.7.
What 2 numbers equal A?
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.
Why is 2 to the first power 1?
Any number to the 1st power is the same number, unchanged. Two to the 1st power is 2.
What does 5 to negative 2 power equal?
it equals 1/25, or 0.04. A number to a negative power is the reciprocal of the number to that same positive power. x^(-y) = 1/(x^y)
Why does 9 cubed equal 9 to the power of three?
because when you cube a number you are multiplying itself by itself by itself which is the same as to the power of three.
Rounding off to the first digit is called?
Rounding to the first digit is simply called rounding. This will make the number equal to the same as what the number truly is.
When a number is raised to zero does it have the same value as another number is raised to a zero?
Yes because any number raised to the power of zero is always equal to 1
Can the exponent of a number raised to the first power be omitted?
Yes. For any number "x", x to the power 1 is the same as x.
What would the exponents of any two equal bases have to be for their product to equal 1 explain?
When working with exponents there are a couple of rules for 1 to remember. Any number that is brought to the power of “one” will always equal that same number or itself. Secondly one at any power is still one. So for two equal bases to have their product be one, they both can equal one.
What is the meaning of equal representation?
When all 3 branches of government is equal. Neither branch has more power than the other. ______________________________________ Equal representation : Each region has the same number of elected representatives.
What does power of 3 mean in math?
A number to the power of 3 (colloquially to the third power) refers to raising the number by an exponent of 3. An exponent of a number represents how many times that number is multiplied by itself.For example:2 to the power of 3 is the same as 23, which is the same as 2 x 2 x 2 = 8.
What is x to the power of 1?
Any number to the first stays the same, so x to the first equals x.
