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Can you have a negative number multiplied by an exponent that is a fraction?
Wiki User
∙ 12y ago
YES.
If the numerator of the fraction is an even number then the negative number is multiplied by itself an even number of times and becomes a positive number.
The denominator value then determines the nth root that is required of the above positive number.
Example. (-5)^2/3 = [(-5)2]^1/3 = 25^1/3 = 2.924 (3dp)
When the numerator is a negative number then the original negative number remains negative but of a different value (unless we are dealing with -1).
The denominator determines the nth root of a negative number which introduces the mathematical concept that, √-1 = i or i² = -1.
Example. ( -3)^3/4 = [(-3)3]^1/4 = -9^1/4 = (9 x -1)^1/4 = 1.732 ⁴√-1
Wiki User
∙ 12y ago
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What do you do when you have a negative number to a negative exponent?
it would be a negative multiplied by a negative and your answer should end up positive.
What is the negative exponent law?
If you have a negative exponent, then put 1/the number multiplied by itself the number of times of the exponent. For example: 3-2=1/(3x3)=1/9
What is the part of a power is the number of times that the factor is repeatedly multiplied?
The index or the exponent - but only if it is a non-negative integer.
How do you raise anumber to a negative exponent?
A number to a negative exponent is the inverse of the number to the positive exponent. That is, x-a = 1/xa
What is the difference between base number and the exponent?
In their simplest forms, a base number is the number that is being multiplied by itself while the exponent is the number of times that the base is multiplied.
What is the negative exponent law?
If you have a negative exponent, then put 1/the number multiplied by itself the number of times of the exponent. For example: 3-2=1/(3x3)=1/9
What do you do when you have a negative number to a negative exponent?
it would be a negative multiplied by a negative and your answer should end up positive.
Why is a number to a negative exponent a fraction?
Because a number to the exponent 0 = 1 and any lesser exponent decreases the value.
When a base of an exponential expression is apositive real number and exponent is an integer?
Then, if the exponent is a positive integer, the value is 1 multiplied by the base repeatedly, exponent times. If the exponent is a negative integer then it is the reciprocal of the above value.In either case, it is NOT the base multiplied by itself an exponent number of times.
What is 0.1 as a negative exponent?
Anything to the power of a negative number is equal to one divided that "anything" raised to the positive value of the exponent. For example:a-b = 1/ abSo you can think of this by expressing the number as a fraction. Consider, what is 0.1 as a fraction? The answer is 1/10. This means that when expressed as an exponent, it would be 10-1.
What is the part of a power is the number of times that the factor is repeatedly multiplied?
The index or the exponent - but only if it is a non-negative integer.
What is the difference between base number and the exponent?
In their simplest forms, a base number is the number that is being multiplied by itself while the exponent is the number of times that the base is multiplied.
How do you raise anumber to a negative exponent?
A number to a negative exponent is the inverse of the number to the positive exponent. That is, x-a = 1/xa
What is a number that tells how many times a base number is multiplied by itsealf?
An exponent.
How do you change negative exponets to positive exponents?
A negative exponent of a number is the same as the reciprocal of that same number to the equivalent positive exponent.EXAMPLE : 2-3 = 1/23When multiplying powers of the same base the rule is, addthe exponents.So, if the initial exponent is negative then the number has to be multiplied by a power of that number with an equivalent positive exponent greater than the negative exponent.EXAMPLE : 2-3 x 25 = 2(-3+5) = 22 (As 5 > l3l then the resultant exponent is positive)
How do you get rid of negative exponents?
Negative exponents indicate that the number for which the exponent applies to should be placed under one. Ex: 2^(-3) also can be expressed as 1/(2^3) or 1/8. So, to eliminate the negative exponent, simply place the number (and the accompanying exponent) under one to make a fraction.
Number of times a base number is multiplied by itself?
the exponent
