(2v)^2 Times 2v^2

Jasonbradley

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Jun 16, 2024

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Simplifying (2v)^2 * 2v^2

This problem involves simplifying an expression with exponents and variables. Let's break it down step by step:

Understanding the Properties

• Exponent Rule: (a^m)^n = a^(m*n)
• Multiplication Rule: a^m * a^n = a^(m+n)

Solving the Expression

1. Simplify (2v)^2:

   • Apply the exponent rule: (2v)^2 = 2^2 * v^2 = 4v^2

2. Rewrite the expression:

   • Now we have: 4v^2 * 2v^2

3. Multiply the coefficients:

   • 4 * 2 = 8

4. Combine the variables:

   • v^2 * v^2 = v^(2+2) = v^4

5. Final result:

   • (2v)^2 * 2v^2 = 8v^4

Conclusion

Therefore, the simplified form of (2v)^2 * 2v^2 is 8v^4. Remember to apply the appropriate exponent rules when simplifying expressions like this.