Understanding Powers in Mathematics

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11 Questions

What is a power?

A shortcut for multiplication

How are powers written?

With the base number at the bottom and the exponent at the top

What does 'to the square' mean in mathematical terms?

Multiplying a number by itself twice

What does 4 cubed mean?

$4^3$

What is the result of any number raised to the power of 1?

The number itself

¿Cuál de las siguientes variables se clasifica como cuantitativa discreta?

Cantidad de hermanos de una persona

¿Qué variable es cuantitativa continua?

Distancia de la casa de un estudiante al Colegio

¿Cuál de las siguientes variables NO es cuantitativa?

Suma de puntos tenidos en el lanzamiento de un par de dados

¿Qué variable es más probable que sea una variable cualitativa?

El promedio de goles por partido de un Mundial de Fútbol

¿Cuál de las siguientes variables es más probable que sea una variable continua?

Número de litros de agua contenidos en un depósito

¿Cuál de las siguientes variables se clasifica como cuantitativa discreta?

'La cantidad de meses de un año'

Study Notes

  • A power is a shortened way of writing a multiplication where a factor is repeated multiple times. The base is the number being repeated (e.g., 7 or 9) and the exponent indicates how many times the base is repeated.
  • Powers are written with the base number at the bottom and the exponent (indicating repetition) written as a small number on top.
  • Special names are given to powers with exponents of 2 and 3: "to the square" for 2 and "to the cube" for 3. For example, 5 squared is read as 5 to the power of 2.
  • Understanding the product of powers involves correctly multiplying the base number by itself the number of times indicated by the exponent. For instance, 2 cubed means multiplying 2 by itself three times.
  • Notably, any number raised to the power of 1 will always equal that number. For example, 10 to the power of 1 equals 10, and 1 to the power of any number equals 1.

Learn about powers in mathematics where a base number is raised to an exponent indicating how many times it is repeated. Discover special names for exponents of 2 and 3, and how any number raised to the power of 1 equals that number.

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