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(2v)^2 X 2v^2

less than a minute read Jun 16, 2024
(2v)^2 X 2v^2

Simplifying (2v)^2 x 2v^2

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

Understanding the Terms

  • (2v)^2: This means we're squaring the entire term "2v". Squaring a term means multiplying it by itself: (2v) * (2v).
  • 2v^2: This means 2 multiplied by v squared. v squared means v multiplied by itself: 2 * (v * v).

Simplifying the Expression

  1. Expand (2v)^2: (2v) * (2v) = 4v^2

  2. Combine terms: 4v^2 * 2v^2

  3. Multiply coefficients: 4 * 2 = 8

  4. Multiply variables: v^2 * v^2 = v^(2+2) = v^4

  5. Final result: 8v^4

Conclusion

Therefore, (2v)^2 x 2v^2 simplifies to 8v^4. Remember to apply the rules of exponents when dealing with powers and multiplication.

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