The expression provided is:

$7^6 \cdot 7^1$

To simplify this using one positive exponent, we apply the property of exponents that states:

$a^m \cdot a^n = a^{m+n}$

Here, $a = 7$, $m = 6$, and $n = 1$. Adding the exponents:

$7^6 \cdot 7^1 = 7^{6+1} = 7^7$

Thus, the simplified expression is:

$7^7$

Would you like a more detailed explanation or have any other questions?

Related Questions:

1. How do you simplify expressions with different bases?
2. What happens if you multiply exponents with negative powers?
3. How do you handle dividing terms with the same base and different exponents?
4. What are the general rules for working with exponents in algebra?
5. How do you express exponents as a logarithm?

Tip: When multiplying numbers with the same base, always remember to add their exponents!