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Q: Why do we need integer exponent rules?
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What are some of the rules of scientific notation?

The first number must be a nonzero single-digit integer. The exponent must be an integer.


What is a positive integer exponent?

An exponent that is a positive integer. For example, x3 has a positive exponent, while 8-5 does not.


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 are the different examples of integral exponents?

... -3, -2, -1, 0, 1, 2, 3, ...In summary, any integer that you use as an exponent is an "integral exponent".... -3, -2, -1, 0, 1, 2, 3, ...In summary, any integer that you use as an exponent is an "integral exponent".... -3, -2, -1, 0, 1, 2, 3, ...In summary, any integer that you use as an exponent is an "integral exponent".... -3, -2, -1, 0, 1, 2, 3, ...In summary, any integer that you use as an exponent is an "integral exponent".


What is the product of an integer multiplied by itself?

An Exponent.


If n is a positive integer and x exponent n equal y exponent n does x equal y?

You need to put all the variables on one side. Do this by adding or subtracting them.


What is base and exponent of 625?

You can define any base you like and calculate an appropriate exponent or, you can pick an exponent and calculate the base. So you can have base 25, with exponent 2 or base 5 and exonent 4 or base e (the base for natural logarithms) and exponent 6.437752 (to 6 dp) or base 10 and exponent 2.795880 (to 6 dp) or base 2 and exponent 9.287712 etc or base 8.54988 (to 3 dp) and exponent 3 or base 3.623898 (to 3 dp) and exponent 5 etc There is no need for the base to be an integer or even rational. Probably the most important bases in advanced mathematics is e, which is a transcendental number. Similarly, there is no need for the exponent to be an integer.


If the coefficient of the expression ax is in fraction and the exponent is positive the expression will be a polynomial?

Not necessarily. If the exponent is not an integer then it is not a polynomial.


What are the Exponent rules?

base


Can you have a fraction as an exponent of a constant?

yes you can. The numerator of the exponent is the normal integer type of exponent degree you are most used to seeing. The denominator of the exponent is similar to the degree of the root, as in square root, cube root, etc. Pi is of course a constant. Pi to power of 3/2, π3/2, is the same as the square root of the quantity pi cubed (which is the same as the cube of the square root of pi). Fractional exponents (rational exponents) follow the same algebra rules as integer exponents.


What is a positive exponent?

An exponent that is a positive integer. For example, x3 has a positive exponent, while 8-5 does not.


What is a negative integer exponent?

3^2 = 9 3^-2 = 1/9