For example, 10 to the power -5 means the same as 1 divided by (10 to the power 5). In general, you can interpret negative exponents this way, with reciprocals.
Find the reciprocal of the positive exponent. Thus, x-a = 1/xa
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.
To predict whether a power will be negative or positive, examine the base and the exponent. If the base is positive, any exponent—whether positive or negative—will yield a positive result. Conversely, if the base is negative, an even exponent results in a positive value, while an odd exponent produces a negative value. Thus, the sign of the power depends on both the sign of the base and whether the exponent is odd or even.
A negative exponent is simply the reciprocal of the positive exponent. So simply remove the negative sign and find the reciprocal. Thus, for example, 5-3 = 1/53 = 1/125
negative 4 with negative 3 as an exponent
Find the reciprocal of the positive exponent. Thus, x-a = 1/xa
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.
To predict whether a power will be negative or positive, examine the base and the exponent. If the base is positive, any exponent—whether positive or negative—will yield a positive result. Conversely, if the base is negative, an even exponent results in a positive value, while an odd exponent produces a negative value. Thus, the sign of the power depends on both the sign of the base and whether the exponent is odd or even.
A negative exponent is simply the reciprocal of the positive exponent. So simply remove the negative sign and find the reciprocal. Thus, for example, 5-3 = 1/53 = 1/125
An expression with a negative exponent is equivalent to the positive exponent of its reciprocal. Thus, 3-4 = 1/34 or, equivalently, (1/3)4 or (3/4)-2 = (4/3)2
negative 4 with negative 3 as an exponent
Polynomials cannot have negative exponent.
the exponent is a negative
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.
"Dose" is a measured portion of a medicine. I am not aware of any exponents that have anything to do with measured quantities of medication! A negative exponent is simply the reciprocal of the corresponding positive exponent. Thus x^(-a) = (1/x)^a for non-zero x.
A number to a negative exponent is the inverse of the number to the positive exponent. That is, x-a = 1/xa
A negative exponent means the same as a positive exponent in the denominator. Thus, x-0.5 = 1/x0.5. This, in turn, is equivalent to 1/(square root of x).