What is the simplified form of (x^3 * x^2) / x^4? (2023)

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Question: What is the simplified form of (x^3 * x^2) / x^4? (2023)

Options:

Correct Answer: x^1

Exam Year: 2023

Solution:

Using the property of exponents, we have (x^3 * x^2) / x^4 = x^(3+2-4) = x^1.

What is the simplified form of (x^3 * x^2) / x^4? (2023)

What is the simplified form of (x^3 * x^2) / x^4? (2023)

Step 1: Identify the expression we need to simplify: (x^3 * x^2) / x^4.
Step 2: Use the property of exponents that states when you multiply like bases, you add the exponents. So, x^3 * x^2 becomes x^(3+2).
Step 3: Calculate the exponent: 3 + 2 = 5. Now we have x^5.
Step 4: Now we rewrite the expression: (x^5) / x^4.
Step 5: Use the property of exponents that states when you divide like bases, you subtract the exponents. So, x^5 / x^4 becomes x^(5-4).
Step 6: Calculate the exponent: 5 - 4 = 1. Now we have x^1.
Step 7: The simplified form of the expression is x^1, which can also be written simply as x.

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