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Understanding 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

  1. Look at the expression . Notice that it consists of a coefficient (4), a variable (), and an exponent (2).

  2. Recall that the exponent applies only to the variable , not to the coefficient 4.

  3. Identify the base: The base is the part of the expression that is being raised to a power. In , is the base.

  4. 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.

  5. Write your answers for the base and exponent, making sure to specify which is which.

Try solving on your own before revealing the answer!

Screenshot of algebra homework question about identifying base and exponent in 4x^2

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.

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