https://file.aiquickdraw.com/mathbot/file/1727197809244giwzngfe.jpg

The mathematical expression in the image is:

\[
\frac{-3}{5 \sqrt[3]{2^3}}
\]

Let's break it down:

1. The denominator is \( 5 \times \sqrt[3]{2^3} \), which means \( 5 \) times the cube root of \( 2^3 \).
   - \( 2^3 = 8 \).
   - The cube root of \( 8 \) is \( 2 \), because \( 2^3 = 8 \).

So, the denominator becomes:
\[
5 \times 2 = 10
\]

Thus, the whole expression simplifies to:
\[
\frac{-3}{10}
\]

The simplified value of the expression is \( -\frac{3}{10} \) or -0.3.

Would you like more details or have any questions? 

Here are some related questions you might find useful:
1. What is the general process for simplifying cube roots?
2. How do you simplify expressions involving exponents and roots?
3. What are the steps for converting a fraction to a decimal?
4. How would the solution change if the denominator had a different power, such as \( 2^4 \)?
5. How do cube roots differ from square roots in their application?

**Tip:** Always remember to simplify the powers and roots before multiplying or dividing in a complex fraction to make the process easier.

Simplify the expression \( \frac{-3}{5 \sqrt[3]{2^3}} \)

Learn how to simplify the expression \( \frac{-3}{5 \sqrt[3]{2^3}} \). This problem explores concepts of cube roots and exponents, leading to a simplified answer of \( -\frac{3}{10} \). Suitable for students in Grades 8-10.

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