https://r2.erweima.ai/mathbot/image/1725659309658ozmdj9qn.jpg

The given expression is:

\[
\frac{(2q)^3}{q}
\]

### Step 1: Expand the numerator
\[
(2q)^3 = 2^3 \times q^3 = 8q^3
\]

So, the expression becomes:
\[
\frac{8q^3}{q}
\]

### Step 2: Simplify the expression
We can cancel out one \( q \) from the numerator and denominator:
\[
\frac{8q^3}{q} = 8q^{3-1} = 8q^2
\]

Thus, the simplified expression is \( 8q^2 \).

### Answer:
The correct option is **8q²**.

---

Would you like more details on any step? Here are five related questions you can try:

1. How do you simplify expressions with exponents and variables?
2. What is the general rule for exponent division?
3. How do you expand a binomial expression raised to a power?
4. What are the steps to simplifying algebraic fractions?
5. How do you solve more complex expressions with multiple variables?

**Tip**: Always remember the exponent rules—when dividing like bases, subtract the exponents!

Simplify the expression: \(\frac{(2q)^3}{q}\)

Learn how to simplify the expression \(\frac{(2q)^3}{q}\) using exponent rules. The problem involves key algebraic concepts like exponentiation and expression simplification. Suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation