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!
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.
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.
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.
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.
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, you subtract the exponent of the divisor from the exponent of the dividend. This will give you the exponent of the quotient after division.
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.
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.
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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)
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.
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.
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.
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.
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.
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.
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")