(2x)^4 Expanded

Jasonbradley

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Jun 16, 2024

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Expanding (2x)^4

In mathematics, expanding an expression means writing it out in a simpler form, without any exponents or parentheses. Let's explore how to expand the expression (2x)^4.

Understanding the Power

The expression (2x)^4 means that we are multiplying 2x by itself four times:

(2x)^4 = (2x) * (2x) * (2x) * (2x)

Applying the Exponent Rules

To expand this expression, we can use the following rules:

• Product of powers: (a * b)^n = a^n * b^n
• Power of a power: (a^m)^n = a^(m*n)

Expanding the Expression

1. Apply the product of powers rule: (2x)^4 = 2^4 * x^4

2. Simplify the exponents: 2^4 * x^4 = 16 * x^4

Final Result

Therefore, the expanded form of (2x)^4 is 16x^4.