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(-xy)^3(xz)

less than a minute read Jun 16, 2024
(-xy)^3(xz)

Simplifying (-xy)^3(xz)

This expression involves exponents, multiplication, and negative signs. Let's break down the steps to simplify it:

Understanding the Properties

  • Exponent Rule: When raising a product to a power, you raise each factor to that power: (ab)^n = a^n * b^n
  • Multiplication of Powers: When multiplying powers with the same base, you add the exponents: a^m * a^n = a^(m+n)

Applying the Rules

  1. Simplify (-xy)^3:

    • (-xy)^3 = (-1)^3 * x^3 * y^3 = -x^3 * y^3

  2. Multiply by xz:

    • -x^3 * y^3 * xz = -x^3 * x * y^3 * z

  3. Combine the x terms:

    • -x^3 * x * y^3 * z = -x^(3+1) * y^3 * z = -x^4 * y^3 * z

Final Answer

Therefore, the simplified form of (-xy)^3(xz) is -x^4 * y^3 * z.

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