Simplify the expression. Write your answer as a power.$h^6\cdot h$h6·h​The simplified expression is

1. Break Down the Problem

We need to simplify the expression $h^6 \cdot h$.

2. Relevant Concepts

To simplify this expression, we will use the property of exponents that states: $a^m \cdot a^n = a^{m+n}$ where $a$ is a base, and $m$ and $n$ are exponents.

3. Analysis and Detail

In our expression:

• The base is $h$.
• The first exponent is $6$ (from $h^6$).
• The second exponent is $1$ (since $h$ can be expressed as $h^1$).

Using the property of exponents: $h^6 \cdot h^1 = h^{6+1} = h^7$

4. Verify and Summarize

We can verify that we followed the exponent rule correctly. Adding the exponents gives us $7$, confirming that the simplification is accurate.

Final Answer

The simplified expression is $h^7$.