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To simplify the expression \( b^4 \cdot b \) and rewrite it in the form \( b^n \):

We apply the rule of exponents: 

\[
b^m \cdot b^n = b^{m+n}
\]

Here, we have:

\[
b^4 \cdot b^1 = b^{4+1} = b^5
\]

Thus, the simplified form is:

\[
b^5
\]

Would you like more details or have any questions?

Here are five related questions to practice:

1. Simplify \( b^3 \cdot b^2 \).
2. Simplify \( x^7 \cdot x^3 \).
3. Rewrite \( b^6 \cdot b^{-2} \) in the form \( b^n \).
4. Simplify \( (b^2)^3 \).
5. Simplify \( b^5 \cdot b^5 \).

**Tip:** When multiplying powers with the same base, simply add their exponents!

Simplify b^4 ⋅ b and rewrite the expression in the form b^n.

Learn how to simplify exponential expressions like b^4 ⋅ b using the exponent addition rule. This problem covers essential algebraic concepts, including how to combine powers with the same base. Suitable for students in Grades 6-8.

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