(2v)^2*2v^2

Jasonbradley

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Jun 16, 2024

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

This expression involves exponents and multiplication. Let's break it down step by step to simplify it:

Understanding the Exponents

• (2v)^2: This means we are squaring the entire term inside the parentheses.
• 2v^2: Here, only the variable 'v' is being squared.

Applying the Exponent Rules

1. Simplify (2v)^2:

• (2v)^2 = 2v * 2v = 4v^2

2. Combine the Simplified Terms:

• 4v^2 * 2v^2 = (4 * 2) * (v^2 * v^2)

3. Apply the Product of Powers Rule:

• v^2 * v^2 = v^(2+2) = v^4

4. Final Simplified Expression:

• (4 * 2) * (v^2 * v^2) = 8v^4

Conclusion

Therefore, the simplified form of (2v)^2 * 2v^2 is 8v^4.