https://file.aiquickdraw.com/mathbot/file/17260960707898xq9d4bp.jpg

The expression shown in the image is:

\[
\frac{(8.4 + \pi)^3}{(7.01 - 1.51)^2}
\]

Let's break it down step by step:

1. **Numerator**: \( (8.4 + \pi)^3 \)
    - Approximate the value of \( \pi \) as 3.1416.
    - Add 8.4 and \( \pi \).
    - Then cube the result.

2. **Denominator**: \( (7.01 - 1.51)^2 \)
    - Subtract 1.51 from 7.01.
    - Then square the result.

Let me calculate this for you.The value of the given expression:

\[
\frac{(8.4 + \pi)^3}{(7.01 - 1.51)^2}
\]

is approximately **50.82**.

Would you like further details or have any other questions? Here are some related questions for further exploration:

1. How does the value of the expression change if you use a different approximation for \( \pi \)?
2. How would this expression change if the powers were different (e.g., squared in the numerator and cubed in the denominator)?
3. Can you rewrite the expression in terms of other constants, like Euler's number \( e \)?
4. How does changing the constants (8.4 or 7.01) affect the result?
5. What if the denominator had a cube root instead of a square?

**Tip**: When dealing with powers, always calculate the operations inside parentheses first before applying the exponents!

Solve the mathematical expression: \( \frac{(8.4 + \pi)^3}{(7.01 - 1.51)^2} \)

Learn how to solve the expression (8.4 + π)³ divided by (7.01 - 1.51)² using approximation for π and step-by-step calculations. This problem demonstrates exponents and arithmetic operations, suitable for Grades 8-10 students.

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