%5E3.jpeg "(-4abc)^3")
Simplifying (-4abc)^3
In mathematics, simplifying expressions is a crucial step in solving problems. One common expression encountered is (-4abc)^3. Let's break down how to simplify this expression:
Understanding the Rules
- Exponents: An exponent indicates how many times a base is multiplied by itself. In this case, the base is (-4abc) and the exponent is 3.
- Parentheses: Parentheses indicate that the entire expression inside them must be treated as a single entity.
- Multiplication: The multiplication of variables is commutative, meaning the order doesn't matter.
Simplifying the Expression
-
Apply the exponent to each factor within the parentheses: (-4abc)^3 = (-4)^3 * a^3 * b^3 * c^3
-
Calculate the numerical value of the exponent: (-4)^3 = -64
-
Combine the simplified terms: (-4abc)^3 = -64a^3b^3c^3
Conclusion
Therefore, the simplified form of (-4abc)^3 is -64a^3b^3c^3. Remember to pay close attention to the rules of exponents and parentheses when simplifying expressions involving multiple variables.