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What else can I help you with?
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.
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.
Is a positive integer raised to a negative power always positive?
Yes, a positive integer raised to a negative power is always positive. When a positive integer ( a ) is raised to a negative exponent ( -n ), it is equivalent to ( \frac{1}{a^n} ), where ( n ) is a positive integer. Since ( a ) is positive, ( a^n ) is also positive, and thus ( \frac{1}{a^n} ) remains positive.
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
How is a negative integer power on a base related to the corresponding positive integer power on that base?
A negative integer power of a base is the reciprocal of the base raised to the corresponding positive integer power. For example, ( a^{-n} = \frac{1}{a^n} ), where ( a ) is the base and ( n ) is a positive integer. This relationship shows that as the exponent decreases into the negatives, the value of the expression represents a division by the base raised to the positive power.
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.
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 is a positive exponent?
An exponent that is a positive integer. For example, x3 has a positive exponent, while 8-5 does not.
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.
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.
Is a positive integer raised to a negative power always positive?
Yes, a positive integer raised to a negative power is always positive. When a positive integer ( a ) is raised to a negative exponent ( -n ), it is equivalent to ( \frac{1}{a^n} ), where ( n ) is a positive integer. Since ( a ) is positive, ( a^n ) is also positive, and thus ( \frac{1}{a^n} ) remains positive.
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
How is a negative integer power on a base related to the corresponding positive integer power on that base?
A negative integer power of a base is the reciprocal of the base raised to the corresponding positive integer power. For example, ( a^{-n} = \frac{1}{a^n} ), where ( a ) is the base and ( n ) is a positive integer. This relationship shows that as the exponent decreases into the negatives, the value of the expression represents a division by the base raised to the positive power.
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 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 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).
