Exponent Powers Vocabulary Guide
Bilingual Math Anchor • Gr. 8 English / Español
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Date / Fecha:
Powers & Exponents • Potencias y Exponentes
Visual definitions & cognates for Grade 8 • Definiciones visuales y cognados
Level 1 Spanish Support
Master Visual Model • Modelo Visual Principal
How all 4 terms connect in one equation / Cómo se conectan los 4 términos
Exponential Form
53
5 = Base
3 = Exponent
Expanded Multiply base 3 times
Factors / Factores
5 × 5 × 5
3 equal factors
3 factores iguales
Power / Potencia
125
Final Value
5 × 5 × 5 = 125
1
BASE
la base
Exact Cognate • Idéntico
EN: The number that gets multiplied repeatedly.
ES: El número principal que se multiplica varias veces.
Think of: The foundation or bottom floor of a house.
In \(4^3\):
4 = Base
4 is the repeated number
2
EXPONENT
el exponente
Near Cognate • Cognado
EN: The small raised number. Tells how many times to multiply the base.
ES: El número pequeño arriba. Indica cuántas veces se multiplica la base.
Think of: A counter sitting on top of the base.
In \(4^{\mathbf{3}}\):
3 = Exponent
Multiply 4 by itself 3 times
3
POWER
la potencia
Key Term • Término Clave
EN: The entire expression (\(4^3\)) OR the evaluated result (\(64\)).
ES: La expresión completa (\(4^3\)) O el resultado evaluado (\(64\)).
Read as: “4 to the 3rd power” • “4 a la tercera potencia”
Both forms are powers:
\(4^3\) = 64
Expression & value = power
4
FACTOR
el factor
Exact Cognate • Idéntico
EN: Each individual number being multiplied in a multiplication problem.
ES: Cada número individual que se multiplica en una operación.
In powers: All factors are the exact same number!
In \(4 \times 4 \times 4\):
4 × 4 × 4
3 factors of 4
Quick Cognates / Cognados Rápidos: Base → Base • Exponent → Exponente • Factor → Factor
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Practice & Application • Práctica y Aplicación
Put It to the Test • Ponlo a Prueba
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Part 1: Common Trap! • ¡Error Común!
Never multiply base × exponent! • ¡Nunca multipliques la base por el exponente!
Multiplication / Multiplicación Repeated Addition
3 × 4 = 3 + 3 + 3 + 3 = 12
Adds the number 4 times. (Suma el número 4 veces).
Exponent / Exponente Repeated Multiplication
34 = 3 × 3 × 3 × 3 = 81
Multiplies the number 4 times! (¡Multiplica el número 4 veces!).
Part 2: Complete the Table • Completa la Tabla
Fill in the blanks / Llena los espacios en blanco
| Expression
Expresión | Base
Base | Exponent
Exponente | Expanded Form (Factors)
Multiplicación Repetida | Power Value
Resultado |
| --- | --- | --- | --- | --- |
| \(2^3\) (Example) | 2 | 3 | 2 × 2 × 2 | 8 |
| \(5^2\) | | | | |
| \(3^3\) | | | | |
| \(10^3\) | | | | |
| | 4 | 2 | 4 × 4 | |
Part 3: Word Match • Identifica la Palabra Correcta
In the expression \(6^2 = 36\), identify which term matches each part. Write Base, Exponent, Factor, or Power:
1. The large number 6 is the:
2. The small raised number 2 is the:
3. In \(6 \times 6\), each 6 is a:
4. The final result 36 is the:
Real-World Math • Matemáticas en el Mundo Real: Bacteria Growth
Biology Connection
A single bacterium doubles every hour: Hour 1 = \(2^1 = 2\), Hour 2 = \(2^2 = 4\), Hour 3 = \(2^3 = 8\).
How many bacteria are there at Hour 4 (\(2^4\))?
Expanded: Total:
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