%5E3-simplified.jpeg "(4t^5)^3 Simplified")
Simplifying (4t^5)^3
This article will explain how to simplify the expression (4t^5)^3.
Understanding the Rules
To simplify this expression, we need to understand a couple of key rules for 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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Apply the power of a product rule: (4t^5)^3 = 4^3 * (t^5)^3
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Apply the power of a power rule: 4^3 * (t^5)^3 = 64 * t^(5*3)
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Simplify: 64 * t^(5*3) = 64t^15
Conclusion
Therefore, the simplified form of (4t^5)^3 is 64t^15.