3(xz).jpeg "(-xy)3(xz)")
Simplifying the Expression (-xy)³(xz)
This article will explore how to simplify the expression (-xy)³(xz).
Understanding the Expression
The expression (-xy)³(xz) involves several components:
- (-xy)³: This represents the product of (-xy) multiplied by itself three times.
- (xz): This represents the product of x and z.
Simplifying the Expression
We can simplify the expression by applying the following steps:
- Simplify the cube:
- (-xy)³ = (-xy)(-xy)(-xy) = -x³y³
- Remember that a negative number raised to an odd power remains negative.
- Combine the simplified terms:
- -x³y³ (xz) = -x⁴y³z
Final Result
Therefore, the simplified form of (-xy)³(xz) is -x⁴y³z.
Key Takeaways
- When simplifying expressions with exponents, remember the rules for multiplying powers with the same base: xⁿ * xᵐ = xⁿ⁺ᵐ.
- Pay attention to the sign of the base when raising it to a power.
By applying these steps, you can effectively simplify expressions involving multiple variables and exponents.