How to Say "index" in Spanish
The most common Spanish word for “index” is “índice” — use 'índice' when referring to an alphabetical list found at the back of a book, or for a mathematical, statistical, or stock market value like a birth rate.
índice
Examples
Mira el índice para ver en qué página está el primer capítulo.
Look at the table of contents to see what page the first chapter is on.
coeficiente
ko-ay-fee-thyen-taykoefiˈθjente

Examples
Para resolver la ecuación, primero identifica el coeficiente de la X.
To solve the equation, first identify the coefficient of the X.
El científico midió el coeficiente de expansión del metal.
The scientist measured the expansion coefficient of the metal.
Su coeficiente intelectual es impresionante para su edad.
Their intelligence quotient (IQ) is impressive for their age.
Always Masculine
Even though it ends in 'e', this word is always masculine. You should always use 'el' or 'un' with it.
Making it Plural
To make it plural, just add an 's' at the end: 'los coeficientes'. The stress on the vowel stays in the same place.
Confusion with 'cociente'
Mistake: “Using 'coeficiente' when you mean 'the result of division'.”
Correction: Use 'cociente' for division results and 'coeficiente' for a multiplier or an index like IQ.
potencia
poh-TEN-syahpoˈten.sja

Examples
La potencia eléctrica se mide en vatios.
Electrical power is measured in watts.
Cuatro elevado a la potencia de tres es sesenta y cuatro.
Four raised to the power of three is sixty-four.
Math Usage
In math, you usually say 'elevado a la potencia de...' (raised to the power of...). For example, 'diez a la potencia de cinco' (ten to the power of five).
Índice vs. Coeficiente
Related Translations
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