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What is the role of the numerator and denominator of a rational exponent such as in the expression (27x38y9)-53?
Wiki User
∙ 6y ago
Unfortunately, the browser used for posting questions is hopelessly inadequate for mathematics: it strips away most symbols. All that we can see is "(27x38y9)-53". From that it is not at all clear what or where the missing symbols (operators) might be. It makes little sense for me to try and guess - I may as well make up my own questions and answer them!
Wiki User
∙ 6y ago
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When dividing in scientific notation what do you do with the exponents?
When dividing in scientific notation, you subtract the exponent of the divisor from the exponent of the dividend. This will give you the exponent of the quotient after division.
How do you find the product or quotient using positive exponents when you have negative ones?
Change the number or variable with the exponent from the numerator to the denominator, or from the denominator to the numerator, and at the same time change the exponent from negative to positive. For example, 5-3 = 1/53, and 1/x-10 = x10.
What is 3m to the negative forth power?
It is the same as 1/34 . We move an exponent to the denominator and we change the exponent from positive to negative. Now 34 is 81 so the answer is 1/81 meters.If the exponent in the denominator is negative, we can move it up to the numerator and change it to a positive.
How you do you find the exponent when is divided in scientific notation?
If the exponent of the numerator is a and the exponent of the denominator is b then the crude exponent of their quotient is a-b. However, if the mantissa of the quotient is less than 1 then it needs to be brought into the range [1, 10) and in doing that, the exponent will become a-b-1.
What do you do to a number with a negative exponent?
Basically do the same thing you would with a positive exponent. However, the difference with negatives is that it will be a fraction with 1 over whatever the exponent comes out to. The negative just tells you to flip the position of the exponent from the numerator to the denominator. For example if you have 5-2, it would become 1/52, which would then become 1/25. Also, if you have a negative exponent in your denominator, you would flip it up to the numerator. For example if you have 1/5-2, it would become 52, which would then be 25.
When dividing in scientific notation what do you do with the exponents?
When dividing in scientific notation, you subtract the exponent of the divisor from the exponent of the dividend. This will give you the exponent of the quotient after division.
What do you do when multiplying a positive exponent by a negative exponent?
Example: (4x)-2 The answer to this would be 1/ 16x2. Multiply it out as if the negative exponent was not there ((4x)2), then that will be the denominator of the fraction. The numerator is one.
How do you find the product or quotient using positive exponents when you have negative ones?
Change the number or variable with the exponent from the numerator to the denominator, or from the denominator to the numerator, and at the same time change the exponent from negative to positive. For example, 5-3 = 1/53, and 1/x-10 = x10.
What is 13 to the exponent -6?
19
What is the general rule for dividing exponents with the same base?
It is the base raised to the exponent used in the numerator minus the exponent for the denominator. That is, a^x / a^y = a^(x-y)
What is 3m to the negative forth power?
It is the same as 1/34 . We move an exponent to the denominator and we change the exponent from positive to negative. Now 34 is 81 so the answer is 1/81 meters.If the exponent in the denominator is negative, we can move it up to the numerator and change it to a positive.
What is 3 to the power of minus 2 in a fraction?
The negative in the exponent switches the expression in question from the numerator to the denominator, or vice versa. In this situation, the expression starts in the numerator, so it moves to the denominator. Therefore, 3-2 is the same as 1/(32). Raising 3 to the 2 power gives you 9, so the final answer is 1/9.
What is the fraction rule of exponents?
Exponential fractions are basically the inverse of radicals. When you have an exponent use the denominator for the index of the radical and the numerator as the exponent to your base number. Example: 2 ^ 1/2 would be set up as the square root of 2 to the power of one. Solve the radical expression and that would be your answer.
How you do you find the exponent when is divided in scientific notation?
If the exponent of the numerator is a and the exponent of the denominator is b then the crude exponent of their quotient is a-b. However, if the mantissa of the quotient is less than 1 then it needs to be brought into the range [1, 10) and in doing that, the exponent will become a-b-1.
What does the denominator of a rational exponent represent?
It represents the ratio between the numerator and the denominator. It is totally misleading to suggest that it represent anything like "parts of a whole". The ratio of the surface area of a sphere to its volume is 3/r. In this expression 3 parts out of the "total" radius is not a particularly meaningful or useful concept.
What do you do to a number with a negative exponent?
Basically do the same thing you would with a positive exponent. However, the difference with negatives is that it will be a fraction with 1 over whatever the exponent comes out to. The negative just tells you to flip the position of the exponent from the numerator to the denominator. For example if you have 5-2, it would become 1/52, which would then become 1/25. Also, if you have a negative exponent in your denominator, you would flip it up to the numerator. For example if you have 1/5-2, it would become 52, which would then be 25.
What can a negative exponent be rewritten as?
A positive exponent in the denominator of a fraction, with one in the numerator. For example: 4-2 = 1/42 (Formatting difficult: read fraction as "one over four squared")
