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When a positive integer is raised to the power of zero the answer is always one. Why?
Wiki User
∙ 15y ago
You can understand this by using one rule of exponents. For integers m,n, and positive integer a a^m/a^n=a^(m-n) So if we look at a^m/a^m which must be 1 since it is something divided by itself, we know from the rule we can also write this as a^(n-n)=a^0 but we just showed that was 1.
Wiki User
∙ 15y ago
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Why is any number raised to a even power positive?
A positive number times a positive number is always positive. A negative number times a negative number is always positive. Therefore, any square number will be positive. Any number to the fourth power (a square times a square) will always be positive. And so on.
If you moving the decimal point to the right we are moving from And the value to be?
A value to its multiple by a positive integer power of 10.
Is 72 a abundant number or deficient number?
72 is an abundant number because the sum of its positive divisors, not including 72 itself, is larger than 72. Positive divisors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72. 1 + 2 + 3 + 4 + 6 + 8 + 9 + 12 + 18 + 24 + 36 = 123 > 72 (if an integer is larger than the sum of its positive divisors , not including the integer itself, then that integer is called a deficient number, such as prime or power of prime numbers or numbers like 10 are).
What is smaller is it 10 raised to the power of negative 7 or 10 raised to the power of negative 2?
10-7 is smaller than 10-2.
What is 2 raised to 500 power?
2500 = 32,733,906,078,961,418,700,131,896,968,275
Do a negative integer raised to an even power always results in a positive integer?
Yes.
Why does a negative integer raised to an even power always result in a positive integer?
The multiplication rule of thumb always states that a negative number times a negative number results in a positive number. Since an even number is always divisible by two, any value raised to an even integer power will result in a positive number. However, a basic proof is presented as follows: (-A) * (-A) = A^2 ((-A) * (-A)) ^ 2 = ((-A * -A) * (-A * -A)) = A^2 * A^2 = A ^ 4 ...
Is a to the 3rd power greater than or equal to a for all integer values of A and why?
No. A negative integer raised to the third power will yield a negative number that is less than the integer. Only whole numbers (positive integers greater than or equal to 1) have the property where that integer raised to the third power is greater than or equal to the integer.
How much is any integer raised to the zero power?
Any non-zero integer raised to the power of zero is equal to 1.
What is the forth powerof a positive integer?
let x be any positive integer then x4 is the 4th power of that positive integer
Why is any number raised to a even power positive?
A positive number times a positive number is always positive. A negative number times a negative number is always positive. Therefore, any square number will be positive. Any number to the fourth power (a square times a square) will always be positive. And so on.
Why are the units digit of any positive integer power of 5 will always be 5?
The units digit of any number is the number in the ones position. For example, the units digit of 123 is 3; 2324 is 4; and 87321 is one. The reason the answer is 5 for 5 raised to any positive integer is because 5 will always be in the units position. For example, 52 = 25; 53 = 125; 54 = 625; and so on.
What is negative integer to the tenth power?
It will be the same as its positive counterpart to the tenth power.
When is a negative number raised to an odd power negative?
It is always negative when raised to an odd power and always positive when raised to an even power -2 to the third power = -2 x -2 x -2 = -8 -2 to the fourth power = -2 x -2 x -2 x -2 = +16
When a number is raised to a power this number is multipled by itself the number of times the power indicates?
Yes (when the power is a positive integer). It is possible to have powers that are negative, rational, irrational and even complex and there are similar rules for dealing with them.
When will you say that Algebraic Expression is not Polynomial?
When it has any term in which the variable is not raised to a non-nagative integer power. So for example, if it contains a term such as x-3 [the power is not positive] or x1/2 or sqrt(x) [the power is not an integer] or sin(x), or log(x) etc [not powers of x].
How do you change a power to a product in math?
You can only do it if the power is an integer. If the power is a positive integer, then it represents multiplication of the same number of "bases". Thus, 34 = 3*3*3*3 or 85 = 8*8*8*8*8 Also any number to the power 0 is equal to 1. Finally, a number raised to a negative number is the same as its reciprocal raised to the corresponding positive power. Thus 3-4 = (1/3)4 = (1/3)*(1/3)*(1/3)*(1/3)
