%5E2.jpeg "(-6i)^2")
Simplifying (-6i)^2
In mathematics, simplifying expressions is a crucial skill. Let's delve into simplifying the expression (-6i)^2.
Understanding the Basics
- Imaginary Unit (i): The imaginary unit 'i' is defined as the square root of -1 (i.e., √-1 = i). This means i² = -1.
- Exponents: An exponent indicates how many times a base number is multiplied by itself. For example, x² = x * x.
Simplifying the Expression
- Apply the Exponent: (-6i)² = (-6i) * (-6i)
- Expand: (-6i) * (-6i) = 36i²
- Substitute i² with -1: 36i² = 36 * (-1)
- Simplify: 36 * (-1) = -36
Conclusion
Therefore, (-6i)² simplifies to -36.