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(4^3)^3 Simplified

less than a minute read Jun 16, 2024
(4^3)^3 Simplified

Simplifying (4^3)^3

In mathematics, simplifying expressions often involves applying the rules of exponents. One such rule states that when raising a power to another power, we multiply the exponents. Let's break down the simplification of (4^3)^3:

Understanding the Expression

  • (4^3)^3: This expression represents 4 cubed (4 multiplied by itself three times) raised to the power of 3.

Simplifying the Expression

  1. Apply the rule of exponents: (a^m)^n = a^(m*n)
  2. Multiply the exponents: (4^3)^3 = 4^(3*3) = 4^9
  3. Calculate 4^9: 4^9 = 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 = 262,144

Conclusion

Therefore, (4^3)^3 simplifies to 262,144.

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