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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.
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Is a positive integer raised to a negative power always positive?
Yes, a positive integer raised to a negative power is always positive. When a positive integer ( a ) is raised to a negative exponent ( -n ), it is equivalent to ( \frac{1}{a^n} ), where ( n ) is a positive integer. Since ( a ) is positive, ( a^n ) is also positive, and thus ( \frac{1}{a^n} ) remains positive.
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 negative integer?
A negative integer raised to an even power results in a positive integer, not a negative integer. This occurs because multiplying a negative number by itself an even number of times cancels out the negative signs. For example, ((-2)^2 = 4) and ((-3)^4 = 81), both of which are positive. Therefore, the statement is incorrect; a negative integer raised to an even power is always positive.
How is a negative integer power on a base related to the corresponding positive integer power on that base?
A negative integer power of a base is the reciprocal of the base raised to the corresponding positive integer power. For example, ( a^{-n} = \frac{1}{a^n} ), where ( a ) is the base and ( n ) is a positive integer. This relationship shows that as the exponent decreases into the negatives, the value of the expression represents a division by the base raised to the positive power.
What is negative integer to the tenth power?
It will be the same as its positive counterpart to the tenth power.
Is a positive integer raised to a negative power always positive?
Yes, a positive integer raised to a negative power is always positive. When a positive integer ( a ) is raised to a negative exponent ( -n ), it is equivalent to ( \frac{1}{a^n} ), where ( n ) is a positive integer. Since ( a ) is positive, ( a^n ) is also positive, and thus ( \frac{1}{a^n} ) remains positive.
What is the ones digit of 5 raise to the power 20?
The units digit of any positive integer power of 5 is 5. The complete number is: 95367431640625
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 negative integer?
A negative integer raised to an even power results in a positive integer, not a negative integer. This occurs because multiplying a negative number by itself an even number of times cancels out the negative signs. For example, ((-2)^2 = 4) and ((-3)^4 = 81), both of which are positive. Therefore, the statement is incorrect; a negative integer raised to an even power is always positive.
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 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 ...
How is a negative integer power on a base related to the corresponding positive integer power on that base?
A negative integer power of a base is the reciprocal of the base raised to the corresponding positive integer power. For example, ( a^{-n} = \frac{1}{a^n} ), where ( a ) is the base and ( n ) is a positive integer. This relationship shows that as the exponent decreases into the negatives, the value of the expression represents a division by the base raised to the positive power.
What is negative integer to the tenth power?
It will be the same as its positive counterpart to the tenth power.
When a positive integer is raised to the power 1?
When a positive integer is raised to the power of 1, it remains unchanged. This means that for any positive integer ( n ), the expression ( n^1 ) equals ( n ). This property holds true for all integers, making it a fundamental aspect of exponentiation.
Which number is equivalent to the power of 10?
A positive integer power of ten is of the form 1 followed by zeros: ten, hundred, billion and so on.A fractional power of ten can be any positive number - the logarithm (to base 10).A positive integer power of ten is of the form 1 followed by zeros: ten, hundred, billion and so on.A fractional power of ten can be any positive number - the logarithm (to base 10).A positive integer power of ten is of the form 1 followed by zeros: ten, hundred, billion and so on.A fractional power of ten can be any positive number - the logarithm (to base 10).A positive integer power of ten is of the form 1 followed by zeros: ten, hundred, billion and so on.A fractional power of ten can be any positive number - the logarithm (to base 10).
What is 11000 to the power 0?
Any positive non-zero integer to the power zero is equal to 1.
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.
