What if the exponent is negative?
Table of Contents
A positive exponent tells us how many times to multiply a base number, and a negative exponent tells us how many times to divide a base number. We can rewrite negative exponents like x⁻ⁿ as 1 / xⁿ. For example, 2⁻⁴ = 1 / (2⁴) = 1/16.
What are examples of reciprocals?
To find the reciprocal of a whole number, just turn it into a fraction in which the original number is the denominator and the numerator is 1. For example, the reciprocal of 2/3 is 3/2 (or 1-1/2) , because 2/3 x 3/2 = 1. The reciprocal of 7 is 1/7 because 7 x 1/7 = 1.
What does a negative exponent mean in scientific notation?
A negative exponent shows that the decimal point is shifted that number of places to the left. In scientific notation, the digit term indicates the number of significant figures in the number.
What is the value of 10 raise to minus 6?
Explanation: 10^-6 can be written as 1/10^6 which is 1/1000000.
What is a negative exponent?
It means that the number 3 has to be multiplied twice. Here, the number 3 is a base number and 2 is an exponent. The exponent can be positive or negative. In this article, we are going to discuss “ Negative Exponents ” in detail with its definition, rules, how to solve the negative exponent with many solved examples.
What is the formula for a negative exponential distribution?
For an application of a negative exponential distribution, see, Example 15 in Chapter 1. f(x;θ) = 1 √2πθe – ( x – μ) 2 2θ, x ∈ R, θ ∈ Ω = (0,∞), μ known.
What is the value of 1/2-3 with negative exponent?
For every number “a” in the denominator with negative exponent “-n” (i.e.,) 1/a -n, the result can be written in the form of a×a×.. n times. In this example, the negative exponent is in the denominator of the fraction. Hence, 1/2 -3 is equal to 8.
What is the value of ex = 1 λ in exponential distribution?
For an r.v. X having negative exponential distribution with parameter λ, formula (6.17) gives: (6.19) EX = 1 λ, Var(X) = 1 λ2, and MX(t) = 1 1 – t λ, t < λ. The expression EX = 1 λ provides special significance for the parameter λ: its inverse value is the mean of X.