IndietroUnderstanding Bases and Exponents in Algebraic Expressions
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Q2. Identify the base and the exponent in the expression .
Background
Topic: Exponents and Algebraic Expressions
This question tests your understanding of how exponents work in algebraic expressions, specifically how to identify the base and the exponent in a term.
Key Terms:
Base: The number or variable that is being raised to a power.
Exponent: The power to which the base is raised, indicating how many times the base is multiplied by itself.
Key Formula:
= base
= exponent
Step-by-Step Guidance
Look at the expression . Notice that it consists of a coefficient (4), a variable (), and an exponent (2).
Recall that the exponent applies only to the variable , not to the coefficient 4.
Identify the base: The base is the part of the expression that is being raised to a power. In , is the base.
Identify the exponent: The exponent is the number that tells you how many times to multiply the base by itself. In , the exponent is 2.
Write your answers for the base and exponent, making sure to specify which is which.
Try solving on your own before revealing the answer!

Final Answer:
The base is x.
The exponent is 2.
In the expression , the exponent applies only to the variable , not to the coefficient 4.