Algebra Practice Test 2025 – The Complete Guide to Mastering Your Exam Success!

Question: 1 / 400

What is the simplified exponential notation for x^3 • x^5?

x^7

x^8

To simplify the expression \(x^3 \cdot x^5\), it's important to apply the properties of exponents. Specifically, when multiplying two expressions with the same base, you add their exponents.

In this case, the base is \(x\), and the exponents are 3 and 5. Therefore, you calculate the sum:

\[

3 + 5 = 8

\]

Thus, the expression simplifies to \(x^8\). This adheres to the rule that states \(a^m \cdot a^n = a^{m+n}\) for any base \(a\) and exponents \(m\) and \(n\).

This reasoning confirms that \(x^8\) is indeed the correct simplified expression resulting from \(x^3 \cdot x^5\).

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x^15

x^5

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