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Understanding Powers in Mathematics

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Questions and Answers

What is a power?

A symbol representing division

A shortcut for multiplication (correct)

A shortcut for addition

A symbol representing subtraction

How are powers written?

With the base number at the bottom and the exponent at the top (correct)

With the exponent at the bottom

With the base number at the top

With the base number inside a square symbol

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

Dividing a number by 2

Multiplying a number by 3

Multiplying a number by 2

Multiplying a number by itself twice (correct)

What does 4 cubed mean?

$4^3$ Signup and view all the answers

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

The number itself Signup and view all the answers

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

Cantidad de hermanos de una persona Signup and view all the answers

¿Qué variable es cuantitativa continua?

Distancia de la casa de un estudiante al Colegio Signup and view all the answers

¿Cuál de las siguientes variables NO es cuantitativa?

Suma de puntos tenidos en el lanzamiento de un par de dados Signup and view all the answers

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

El promedio de goles por partido de un Mundial de Fútbol Signup and view all the answers

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

Número de litros de agua contenidos en un depósito Signup and view all the answers

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

'La cantidad de meses de un año' Signup and view all the answers

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.

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Description

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.