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Why is -x2 always negative for a nonzero value of x?
The expression -x² is always negative for any nonzero value of x because squaring a nonzero number (whether positive or negative) results in a positive value. Thus, when you take the negative of that positive value, you end up with a negative result. For example, if x = 2, then -x² = -4, and if x = -2, then -x² = -4 as well. In both cases, -x² is negative.
Why is -x cube always negative for any nonzero value of x?
The premise of your question is false: -x³ is positive if x is negative.
What is the value of any nonzero base raised to the zero power?
The value of any nonzero number raised to the zero power will equal positive one (1).
What is the sum of a number and its opposite?
The sum of a number and its negative (additive inverse) is zero. For any nonzero value n, n + (-n) = 0
Which operation will not change the value of any nonzero number?
Adding zero
Why is -x cube always negative for any nonzero value of x?
The premise of your question is false: -x³ is positive if x is negative.
Which operation will always result in the value of 1 for any nonzero number?
The operation that will always have the result in value of 1 for any nonzero number is Inverse Operation of Multipication.
What is the value of any nonzero base raised to the zero power?
The value of any nonzero number raised to the zero power will equal positive one (1).
What is the sum of a number and its opposite?
The sum of a number and its negative (additive inverse) is zero. For any nonzero value n, n + (-n) = 0
What operation will change the value of any nonzero number?
multiplying by zero
Is the absolute value of any nonzero number an irrational number?
O
Which operation will not change the value of any nonzero number?
Adding zero
If any nonzero raised to the power of zero is equal to?
It is always 1
Why any number raise to the power 0 is always 1?
== == The fact is - any nonzero number raised to 0 is always 1. the reason is: suppose a is nonzero. Then by the quotient rule of indices, am/an = am - n Taking m = n we come up with am - m = am/am , which is 1 in view of a nonzero.
Is the third power of any nonzero number is negative?
Not if the original number is positive, otherwise yes.
Which operaton will change the value of any nonzero number?
Multiplication by zero is one such operation.
Will positive numbers always have a higher absolute value than the negative numbers and WHY?
No. The absolute value is the distance a number is from zero. It is always represented by a positive number. The absolute value of any positive number and its negative counterpart is the same.
