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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.

Q: When a base of an exponential expression is apositive real number and exponent is an integer?

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By changing the sign of the second number.

It's the largest positive integer that will divide evenly with no remainder into both of them.

The basic rules of arithmetic and algebra apply in most cases. That is:Exponentiation is done firstMultiplication and division are done nextFinally, addition and subtraction are done.If two or more operations with the same priority appear together in the same expression, they're handled in left to right order. Parentheses can be used to override the order of operations; expressions in parens are evaluated first.For example, 2*4**2 - 8/4 would be evaluated this way:Do the exponent first: 4**2 = 16. The expression is then 2*16 - 8/4Next do the multiplication and division: 2*16 = 32 and 8/4 = 2Do the subtraction last: 32 - 2, or 30.The only possible difference is in division, IF you're using computer rules for integer operations. Because a fully integer-based expression can only be expressed as another integer, computers perform integer division by truncating any fractional remainder of a quotient. So for example a computer would evaluate 7 / 2 = 3, rather than 3.5. If the numbers were expressed as real numbers the answer would be correct in the algebraic sense, though: 7. / 2. = 3.5

No, it is an integer.

The absoluate value of a positive integer is the integer itself.The absoluate value of a positive integer is the integer itself.The absoluate value of a positive integer is the integer itself.The absoluate value of a positive integer is the integer itself.

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

The exponential expression a^n is read a to the nth power. In this expression, a is the base and n is the exponent. The number represented by a^n is called the nth power of a.When n is a positive integer, you can interpret a^n as a^n = a x a x ... x a (n factors).

Not necessarily. Every exponent in the exponent must be a non-negative integer. This is not what you have specified. For example, if n = 3.5, it is not a term in a polynomial expression.

The exponential expression a^n is read a to the nth power. In this expression, a is the base and n is the exponent. The number represented by a^n is called the nth power of a.When n is a positive integer, you can interpret a^n as a^n = a x a x ... x a (n factors).

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

Like any other integer, 22 expressed as an exponent is 22^1. The prime factorization of 22 is 2 x 11. No exponents are required.

what expression does not name an integer

Yes.

... -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".

a^(-n) = (1/a)^nIf a is 0, the above expression would require division by 0, which is not defined.

No. 35 is exponential notation, (3 is the base of the exponent 5), but in scientific notation the base must be 10 and the exponent must be an integer. 100.1 is exponential notation but not sci. notation.

An Exponent.