What Does the -1 Index Mean in the Abbreviation km h^-1?

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SUMMARY

The abbreviation \(km h^{-1}\) represents "kilometers per hour" and indicates a speed measurement. The superscript \(-1\) signifies the multiplicative inverse, meaning "per hour" or "reciprocal of hours." This notation is commonly used in physics and mathematics to denote rates. Proper usage in LaTeX requires enclosing units in the \text{} command to avoid italicization and using curly braces for multi-character exponents.

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I'm looking at a question that refers to kilometres per hour and uses the abbreviation\(km h^-1\)

It looks like a -1 index -could someone [point out to me what this means (I'm only just starting to get back into maths!).

Thanks
 
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You are probably referring to:

$\text{kmh}^{-1}$

which means the same thing as km/h, that is to say: "kilometers per hour".

The superscript "${}^{-1}$" typically means "inverse", in this case "multiplicative inverse", or in more common language, "reciprocal", that is to say:

$h^{-1} \stackrel{\text{def}}{=} \dfrac{1}{h}$
 
Simonio said:
I'm looking at a question that refers to kilometres per hour and uses the abbreviation\(km h^-1\)

It looks like a -1 index -could someone [point out to me what this means (I'm only just starting to get back into maths!).

Thanks

Just a couple of $\LaTeX$ tips...

a) If you want to express units of measure, enclose them within the \text{} command so that they are not italicized like variables.

b) If an exponent has more than 1 character, enclose it within curly braces.

Thus, you could use the code:

\text{kmh}^{-1}

to get:

$$\text{kmh}^{-1}$$

Another tip: If you see a $\LaTeX$ expression and you would like to quickly see how it is done, this is, what code was used, right-click on the expression, and from the pop-up menu choose Show Math As ► TeX Commands, and a small pop-up window will contain the $\LaTeX$ code used to produce the result. You can then copy-paste the code and modify it for your own use in a post if you like.
 

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