https://file.aiquickdraw.com/mathbot/file/1725885448925gow32wik.jpg

The expression shown in the image is:

\[
5b^3 \cdot 5b^3
\]

To simplify this expression:

1. Multiply the constants: \( 5 \times 5 = 25 \).
2. Use the property of exponents: when multiplying powers of the same base, add the exponents. Here, \( b^3 \times b^3 = b^{3+3} = b^6 \).

So, the simplified expression is:

\[
25b^6
\]

Let me know if you would like any further explanations or details. Here are five related questions:

1. How do you handle exponents when dividing powers of the same base?
2. What happens when you raise a power to another power (e.g., \((b^3)^2\))?
3. How can you simplify expressions with multiple variables, like \( 5b^3c^2 \cdot 2b^2c^3 \)?
4. What is the rule for multiplying square roots of variables?
5. How would you expand \( (5b^3)^2 \)?

**Tip**: Remember that multiplying powers with the same base only works when adding their exponents; the base must remain the same.

Learn how to simplify the expression 5b^3 · 5b^3 using the properties of exponents. This problem involves algebraic concepts such as the multiplication of polynomials and the addition of exponents, suitable for students in Grades 8-10.

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