(2x)^4 Without Exponents

Jasonbradley

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Jun 16, 2024

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Expanding (2x)^4 without Exponents

The expression (2x)^4 represents the product of (2x) multiplied by itself four times.

To expand this without using exponents, we can break it down step by step:

1. First Multiplication:

(2x) * (2x) = 2 * 2 * x * x = 4x²

2. Second Multiplication:

(4x²) * (2x) = 4 * 2 * x² * x = 8x³

3. Third Multiplication:

(8x³) * (2x) = 8 * 2 * x³ * x = 16x⁴

Therefore, the expanded form of (2x)^4 without exponents is 16x⁴.

Key Points:

• Multiplication of variables: When multiplying variables with exponents, we add the exponents together (e.g., x² * x = x³).
• Order of operations: We perform multiplications in the order they appear.