(8a^5)^2

Jasonbradley

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Jun 16, 2024

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Simplifying (8a^5)^2

In mathematics, simplifying expressions is a crucial skill. One common type of expression involves exponents. Let's take a look at how to simplify (8a^5)^2.

Understanding the Rules

To simplify this expression, we need to understand the following rules:

• Power of a product rule: (ab)^n = a^n * b^n
• Power of a power rule: (a^m)^n = a^(m*n)

Applying the Rules

1. Apply the power of a product rule: (8a^5)^2 = 8^2 * (a^5)^2

2. Apply the power of a power rule: 8^2 * (a^5)^2 = 64 * a^(5*2)

3. Simplify: 64 * a^(5*2) = 64a^10

Conclusion

Therefore, the simplified form of (8a^5)^2 is 64a^10. Remember to follow the order of operations and apply the appropriate exponent rules when simplifying expressions.