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What is -1 to the tenth power?
-110 = +1 -1 to any even integer power is +1 and to any odd integer power is -1
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.
Do a negative integer raised to an even power always results in a positive integer?
Yes.
What is y to the negative tenth power?
1/y10
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 -1 to the tenth power?
-110 = +1 -1 to any even integer power is +1 and to any odd integer power is -1
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 product of eight squared and eight to the negative tenth power?
eight squared=64 eight to the negative tenth power= the tenth root of 8 if multiplied together= the eighth root of 8
Do a negative integer raised to an even power always results in a positive integer?
Yes.
What is y to the negative tenth power?
1/y10
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.
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.
What is the quotient of a negative integer and a negative integer?
a negative integer
Is the product of a negative and positive integer a negative?
Yes. The product of a negative integer and a positive integer is a negative integer.
What is the product of a negative integer and a negative integer?
A negative integer multiplied by a negative integer is always a positive integer product. -x * -y = xy
Is a negative integer times a negative integer equal to a positive integer?
Yes, and also a negative integer divided by a negative integer is equal to a positive number (but not necessarily an integer).
How do you get a negative integer with a positive integer and a negative integer?
As long as the negative integer is greater than the positive integer, a negative integer will result from addition, subtraction, multiplication, and division.
