(2u)^4

Jasonbradley

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Jun 16, 2024

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Simplifying (2u)^4

In mathematics, simplifying expressions often involves applying the rules of exponents. In this case, we're dealing with the expression (2u)^4. Let's break down how to simplify it.

Understanding the Rules

The key rule to remember here is the power of a product rule:

(ab)^n = a^n * b^n

This rule states that when raising a product to a power, we raise each factor in the product to that power.

Applying the Rule

Let's apply this rule to our expression:

(2u)^4 = 2^4 * u^4

Now, we simply need to evaluate 2^4, which is 2 * 2 * 2 * 2 = 16.

Final Result

Therefore, the simplified expression is 16u^4.

In summary:

• (2u)^4 is the same as 2^4 * u^4
• 2^4 = 16
• (2u)^4 = 16u^4