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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

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โˆ™ 2010-09-28 03:26:16
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Q: Why does a negative integer raised to an even power always result in a positive integer?
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Do a negative integer raised to an even power always results in a positive integer?

Yes.


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.


A negative number raised to an even power will be positive or negative?

Positive


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.


Can you show me examples that a negative integer raised to an even power always results in an positive integer?

-32 this is like saying (-3)(-3) and a double negative is positive -34 this is like saying (-3)(-3)(-3)(-3) since there is two double negatives it is still positive -36 this is like saying (-3)(-3)(-3)(-3)(-3)(-3) since there is three double negatives it is still positive -38 this is like saying (-3)(-3)(-3)(-3)(-3)(-3)(-3)(-3) since there is four double negatives it is still positive This can apply for any negative integer.


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


Is -1 raised to the power of 100 negative or positive?

The answer is negative (-1 raised to the power of 100 = -1)


What is the result of a negative number raised to the 54th power?

When a negative number is raised to an even power the result is a positive number


Is a negative to a negative power positive?

No, or more accurately "not necessarily".A negative to any even power is positive. -2, -4, -6 etc. are even, so a negative number raised to any of those powers will be positive.However, a negative number raised to an odd negative power (-1, -3, -5 etc.) will be negative.


Is it true if a negative number is raised to the 18th power the answer will be negative?

No. Negative numbers to even powers are positive.


Is a negative number raised to an odd number always negative?

Yes.


When a negative number is raised to an even power the result is a positive number?

Yes


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.


What is a rule for raising a negative number to a power?

It is the positive form of the number raised to that power, multpilied by -1 raised to that power.


What is positive power and negative power?

x raised to a positive power, a is xa where a> 0. If a is an integer then it is equal to x*x*...*x where there are a lots of x.x raised to a negative power is the same as the reciprocal of x raised to the absolute value of the power. Thus, if b < 0 then xb = 1/x-bwhere -b > 0.x raised to rational or irrational powers are defined using the power laws.Another AnswerThe terms 'positive' and 'negative' powercan also be used to describe the direction of energy flow. For example, when a generator supplies energy to the grid, we can say that the direction of that energy and, therefore, the rate at which the energy flows (i.e. power) is positive. However, when the grid supplies energy back to the generator (causing it to 'motor'), then the energy (and, therefore, the power) is negative.


16 to the negative 3 halves power Write with positive exponents and simplify show work t?

A base raised to a negative power is equal to 1 divided by that base raised to a positive exponent. So 16 raised to (-3/2) is equal to 1/ (16 raised 3/2), or 1/64.


What pattern do you discover when solving even-numbered exponents with negative bases?

Any number, positive or negative, raised to an even-numbered power, returns a positive number.


Can a negative number be raised to an odd power?

yes, but the answer will remain negative. for example, (-2)3 is -8 in order to make a negative number positive, it must be raised to an even power, for example (-2)2 = 4


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.


How much is any integer raised to the zero power?

Any integer raised to the power of zero is 1.


What is negative 1 to the power of twenty?

-120= 1 because 1.) any negative number raised to an even power will result in a positive numberand 2.) 1 raised to any power is 1.


When a positive integer is raised to the power of zero the answer is always one. Why?

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.


Explain why -x2 and -x2 are not equal?

0


Is a negative number raised to an odd power always negative?

Yes. Any multiplication involving an odd number of negative operands will be negative (assuming non-zero operands).


Why doesnt the function y ex ever cross the x-axis?

no number can be raised to a power and equal 0 (x^y can never = 0). e is positive (about 2.7) and any positive number can not be raised to a power and equal negative (positive number X positive number = positive number)