%5E3.jpeg "(-2x^4y^3)^3")
Simplifying (-2x^4y^3)^3
This expression involves raising a product with exponents to another power. Let's break down how to simplify it:
Understanding the Properties
We'll be using these properties of exponents:
- Product to a Power: (ab)^n = a^n * b^n
- Power to a Power: (a^m)^n = a^(m*n)
Applying the Properties
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Distribute the exponent: (-2x^4y^3)^3 = (-2)^3 * (x^4)^3 * (y^3)^3
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Simplify each term:
- (-2)^3 = -8
- (x^4)^3 = x^(4*3) = x^12
- (y^3)^3 = y^(3*3) = y^9
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Combine the terms: -8 * x^12 * y^9 = -8x^12y^9
Final Result
Therefore, the simplified form of (-2x^4y^3)^3 is -8x^12y^9.