(2a2b)4

Jasonbradley

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Jun 16, 2024

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Simplifying (2a2b)⁴

In algebra, simplifying expressions involves applying the rules of exponents and order of operations to write them in a more concise form. Let's simplify the expression (2a²b)⁴.

Understanding the Rules

• Exponent Rule: When raising a power to another power, you multiply the exponents.
• Parentheses: Operations inside parentheses are performed first.

Step-by-Step Simplification

1. Distribute the exponent: Since we have (2a²b)⁴, we apply the exponent rule to each term inside the parentheses:

   • 2⁴ = 16
   • (a²)⁴ = a⁸
   • (b)⁴ = b⁴

2. Combine the terms: Now, we multiply the simplified terms together:

   • 16 * a⁸ * b⁴ = 16a⁸b⁴

Final Result

Therefore, the simplified form of (2a²b)⁴ is 16a⁸b⁴.