%5E2.jpeg "(7a^4)^2")
Simplifying (7a^4)^2
In mathematics, simplifying expressions is an important skill. Let's break down how to simplify the expression (7a^4)^2.
Understanding the Rules
We'll use two fundamental rules of exponents:
- Power of a product: (ab)^n = a^n * b^n
- Power of a power: (a^m)^n = a^(m*n)
Applying the Rules
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Applying the power of a product rule: (7a^4)^2 = 7^2 * (a^4)^2
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Applying the power of a power rule: 7^2 * (a^4)^2 = 49 * a^(4*2)
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Simplifying: 49 * a^(4*2) = 49a^8
Conclusion
Therefore, the simplified form of (7a^4)^2 is 49a^8.