Algebraic expressions (Part 1)INTRODUCTION TO ALGEBRAHere are two terms:Term one−5a4Term two−4h2Term oneTerm two−5𝑎4−4ℎ2Are these like terms or not?Answer:

Step 1: Break Down the Problem

To determine whether the terms $-5a^4$ and $-4h^2$ are like terms, we need to analyze their variables and exponents. Like terms have the same variable raised to the same power.

Step 2: Relevant Concepts

• Definition of Like Terms: Terms that contain the same variable(s) raised to the same power(s).
• For example, $3x^2$ and $5x^2$ are like terms, while $3x^2$ and $4x^3$ are not.

Step 3: Analysis and Detail

• Term one: $-5a^4$ contains the variable $a$ raised to the power of 4.
• Term two: $-4h^2$ contains the variable $h$ raised to the power of 2.

Since the variables ($a$ and $h$) are different and their corresponding exponents (4 and 2) are also different, these terms cannot be combined or considered like terms.

Step 4: Verify and Summarize

To verify, we consistently look at the variables and their exponents. The differing variables and exponents confirm that the two terms are not like terms.

Final Answer

No, $-5a^4$ and $-4h^2$ are not like terms.