Nor is there any, because it isn't true.Simon Peach said:Homework Statement
I know this is the rule, but I find this very confusing. A negative power, surd, exponent is converted to a positive fraction power. As I said I find this very confusing as a negative is converted to a positive by the addition of a one over it.
2. Relevant equation
n -2 into n1/2 I can't see the logic in this.
Simon Peach said:The Attempt at a Solution
Are you dividing n1/2 by n-2?Simon Peach said:n -2 into n1/2
Thanks Mark, I downloaded a vid now I understandMark44 said:Nor is there any, because it isn't true.
##n^{-2} = \frac 1 {n^2}##, not ##n^{1/2}##
Your textbook should give some information about how negative exponents are defined.
A negative power is a mathematical notation used to represent a quantity that is smaller than 1. It is written as a base number raised to a negative exponent, such as 2-3. This can also be interpreted as the reciprocal of the base number raised to a positive exponent, in this case, 1/23.
To convert a negative power to a positive fraction, follow these steps:
Negative powers are often used in scientific notation to represent very small quantities, such as in measurements of length or time. However, in some cases, it may be more useful to express these quantities as positive fractions, especially when comparing them to other numbers or performing calculations.
Yes, negative powers can be converted to positive fractions for any base number. The process is the same regardless of the base number, as long as the rules of exponents are followed.
Yes, negative powers can also be written using decimal notation. For example, 2-3 can be written as 0.125, which is equivalent to 1/8. However, using exponents is a more compact and efficient way to represent negative powers, especially when dealing with very small or very large quantities.