https://file.aiquickdraw.com/mathbot/file/1725845625194365nx2ph.jpg

The expression provided in the image is:

\[
\left( \frac{\frac{3x^7}{z^2}}{\frac{2x^4y^3}{z}} \right)^{-2} \cdot 7^{-2}
\]

### Step-by-step simplification:

1. **Simplify the inner fraction**:
   \[
   \frac{\frac{3x^7}{z^2}}{\frac{2x^4y^3}{z}} = \frac{3x^7}{z^2} \cdot \frac{z}{2x^4y^3}
   \]
   Simplify the terms:
   \[
   = \frac{3x^7 \cdot z}{2x^4y^3 \cdot z^2}
   = \frac{3x^7}{2x^4y^3z}
   \]
   Now, simplify the

Simplify the expression and write your answer using positive exponents only: ((3x^7 / z^2) / (2x^4y^3 / z))^(-2) * 7^(-2)

Learn how to simplify an expression with exponents and fractions: ((3x^7 / z^2) / (2x^4y^3 / z))^(-2) * 7^(-2). This step-by-step guide explores algebraic concepts and exponent rules, suitable for Grades 9-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation