(x^9)^0(x^7)^2

Jasonbradley

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Jun 17, 2024

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Simplifying (x^9)^0(x^7)^2

Let's break down the simplification of the expression (x^9)^0(x^7)^2:

Understanding the Rules

• Rule 1: Any number raised to the power of 0 equals 1.
  This means (x^9)^0 = 1.

• Rule 2: When raising a power to another power, we multiply the exponents. This means (x^7)^2 = x^(7*2) = x^14.

Applying the Rules

1. Simplify (x^9)^0: As per Rule 1, (x^9)^0 = 1.

2. Simplify (x^7)^2: Applying Rule 2, (x^7)^2 = x^14.

3. Combine the simplified terms: Now, our expression becomes 1 * x^14.

4. Final simplification: 1 multiplied by any term is the term itself. Therefore, 1 * x^14 = x^14.

Conclusion

Therefore, the simplified form of (x^9)^0(x^7)^2 is x^14.