Simplify the expression. Assume that the variable is a positive number. See Example 2. -V-16a3

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Simplify the expression. Assume that the variable is a positive number. See Example 2.**

\[ - \sqrt[3]{-16a^3} \]

[Answer Box]

---

**Explanation:**

In this exercise, the objective is to simplify the expression given. The expression is a cube root, denoted by the radical symbol with an index of 3. The expression inside the cube root is \(-16a^3\). 

When simplifying, consider the properties of roots and exponents, as well as the fact that the variable \(a\) is positive. 

Typically, when faced with an expression such as this, you would examine:

- The cube root of the numerical constant \(-16\).
- The cube root of \(a^3\).

Ensure every step adheres to proper algebraic rules and simplify accordingly. 

Below the given expression is an answer box where the simplified form of the expression should be written.
Transcribed Image Text:**Simplify the expression. Assume that the variable is a positive number. See Example 2.** \[ - \sqrt[3]{-16a^3} \] [Answer Box] --- **Explanation:** In this exercise, the objective is to simplify the expression given. The expression is a cube root, denoted by the radical symbol with an index of 3. The expression inside the cube root is \(-16a^3\). When simplifying, consider the properties of roots and exponents, as well as the fact that the variable \(a\) is positive. Typically, when faced with an expression such as this, you would examine: - The cube root of the numerical constant \(-16\). - The cube root of \(a^3\). Ensure every step adheres to proper algebraic rules and simplify accordingly. Below the given expression is an answer box where the simplified form of the expression should be written.
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