(-10x^6)^2

Jasonbradley

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Jun 16, 2024

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Simplifying (-10x^6)^2

This expression involves both a negative number, a coefficient, a variable, and an exponent, so it's important to understand the rules of exponents when simplifying it.

Key Rules

• Power of a product: (ab)^n = a^n * b^n
• Power of a power: (a^m)^n = a^(m*n)
• Negative number squared: (-a)^2 = a^2

Step-by-Step Simplification

1. Apply the power of a product rule: (-10x^6)^2 = (-10)^2 * (x^6)^2
2. Apply the power of a power rule: (-10)^2 * (x^6)^2 = (-10)^2 * x^(6*2)
3. Simplify: (-10)^2 * x^(6*2) = 100 * x^12

Final Result

Therefore, the simplified form of (-10x^6)^2 is 100x^12.