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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 negative intergery exponents?
I assume you mean "negative integer exponents".It means that: * It is an exponent * It is an integer (whole number) * It is negative (less than zero, i.e., with a minus sign) A negative exponent is defined as the reciprocal of the positive exponent. For example, 10 to the power -5 is the same as 1 / (10 to the power 5).
When is the result positive in a negative power?
A result is positive in a negative power when the base is a negative number and the exponent is an even integer. For example, ((-2)^{-2} = \frac{1}{(-2)^2} = \frac{1}{4}), which is positive. In contrast, if the exponent is an odd integer, the result will be negative. Thus, the sign of the result depends on the base and the parity of the exponent.
How can you. Evaluate a nonzero number with a negative integer exponent?
To evaluate a nonzero number with a negative integer exponent, you can use the rule that states ( a^{-n} = \frac{1}{a^n} ), where ( a ) is the nonzero number and ( n ) is the positive integer. For example, ( 2^{-3} ) can be evaluated as ( \frac{1}{2^3} = \frac{1}{8} ). This method effectively converts the negative exponent into a positive one by taking the reciprocal of the base raised to the corresponding positive exponent.
What is negative exponent propriety?
The negative exponent property states that a number with a negative exponent can be expressed as the reciprocal of that number raised to the positive exponent. For example, (a^{-n} = \frac{1}{a^n}), where (a) is a non-zero number and (n) is a positive integer. This property helps simplify expressions involving negative exponents by converting them into a more manageable form.
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.
If the coefficient of the expression ax is positive and the exponent is negative the expression will be a polynomial true or false?
False. A polynomial must have non-negative integer exponents. If the exponent is negative, the expression cannot be classified as a polynomial, regardless of the positivity of the coefficient.
Can an exponent be a negative number?
Yes, an exponent can be a negative number. When a base is raised to a negative exponent, it is equivalent to taking the reciprocal of the base raised to the positive exponent. For example, ( a^{-n} = \frac{1}{a^n} ) where ( a ) is a non-zero number and ( n ) is a positive integer. This concept is commonly used in mathematics to simplify expressions and solve equations.
If the coefficient of the expression axn is a fraction and the exponent is positive will the expression be a polynomial?
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.
What is the smallest three digit number with all the digit different?
Since there are no specifications --- Positive integer: 102 Positive rational number: 0.12 Negative integer: -987 Negative exponent: -87^9
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.
What is the rule which allows us to change the sign of an exponent is called?
The rule that allows us to change the sign of an exponent is called the "negative exponent rule." This rule states that for any non-zero number ( a ) and integer ( n ), ( a^{-n} = \frac{1}{a^n} ). Essentially, a negative exponent indicates the reciprocal of the base raised to the absolute value of the exponent.
