0
What else can I help you with?
When this exponent is applied to a base is the result is always 0ne?
Zero
What exponent when applied to a nonzero base has the result of one?
Any nonzero base raised to the exponent of zero results in one. This is expressed mathematically as ( b^0 = 1 ) for any ( b \neq 0 ). Thus, the exponent that yields one is zero.
Why doesn't a negative exponent make the answer negative?
A negative exponent indicates the reciprocal of the base raised to the corresponding positive exponent. For example, ( a^{-n} ) is equivalent to ( \frac{1}{a^n} ), which does not inherently change the sign of the base. The base itself determines the sign; thus, if the base is positive, the result will be positive, and if it's negative, the result will be negative, regardless of the exponent's sign.
What is the rule for multiply numbers with the same base but different exponents?
base x base result x 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.
When this exponent is applied to a base is the result is always 0ne?
Zero
What exponent when applied to a nonzero base has the result of one?
Any nonzero base raised to the exponent of zero results in one. This is expressed mathematically as ( b^0 = 1 ) for any ( b \neq 0 ). Thus, the exponent that yields one is zero.
Why doesn't a negative exponent make the answer negative?
A negative exponent indicates the reciprocal of the base raised to the corresponding positive exponent. For example, ( a^{-n} ) is equivalent to ( \frac{1}{a^n} ), which does not inherently change the sign of the base. The base itself determines the sign; thus, if the base is positive, the result will be positive, and if it's negative, the result will be negative, regardless of the exponent's sign.
What is the rule for multiply numbers with the same base but different exponents?
base x base result x 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.
What is the exponent and base for 262144?
The two are related. The answer could be base 2, exponent 18 or base 8, exponent 6 or base 10, exponent 5.4185 or base 262144, exponent 1 or base 68,719,476,736 and exponent 0.5
1 x x raise to 2 divide 2 fact x raise to n divide n fact?
Log of 1, Log Equaling 1; Log as Inverse; What's “ln”? ... The logarithm is the exponent, and the antilogarithm raises the base to that exponent. ... read that as “the logarithm of x in base b is the exponent you put on b to get x as a result.” ... In fact, when you divide two logs to the same base, you're working the ...
How do you multiply a base of 34 and a exponent of 0?
Actually, a base and exponent are not multiplied together. Rather, the exponent indicates the "power" of the base number, the number of times the base is to be multiplied by itself. For example the expression 23, where the base is 2 and the exponent is 3, represents the product of 3 2s; that is, 2 x 2 x 2, equaling 8. Powers of zero are a special case. By convention, and to support exponent operations, any number (excepting zero) to the power of zero equals one. Therefore the number with a base of 34 and exponent of 0 is written as 340, and 340 = 1.
What is the base of an exponent?
The base of an exponent is the main number. For example in 56 the number 5 is the base and 6 is the exponent.
What is the Definition of negative exponents?
A negative exponent simply means that the base is on the wrong side of the fraction line.For example, if you have x-2, you can turn this into a positive exponent by moving the base to the denominator and changing the sign on the exponent. The result would be:1--x2
How do you find the missing base of an exponent?
To find the missing base of an exponent, you can use logarithms. If you have an equation in the form ( a^x = b ), where ( a ) is the base and ( b ) is the result, you can take the logarithm of both sides: ( x \log(a) = \log(b) ). Then, solve for the missing base ( a ) by rearranging the equation, which may involve exponentiation or using properties of logarithms. Alternatively, if you have a specific value for the exponent and result, you can also use trial and error or graphing methods to estimate the base.
Will a negative exponent on a positive base ever result to a number less than 0?
No, it cannot.
