https://file.aiquickdraw.com/mathbot/file/17283096066204a860sy5.jpg

The given expression is:

\[
x^7 \times x^6
\]

To solve this, you can apply the rule of exponents for multiplying terms with the same base. The rule states:

\[
x^a \times x^b = x^{a+b}
\]

In this case:

\[
x^7 \times x^6 = x^{7+6} = x^{13}
\]

Thus, the result is:

\[
x^{13}
\]

Would you like any further explanation or have any questions about this topic?

Here are some related questions you might find useful:

1. How do you handle multiplication when the bases are different?
2. What is the general rule for dividing terms with the same base and different exponents?
3. How would you evaluate an expression like \( (x^4)^3 \)?
4. What happens when you multiply terms with negative exponents?
5. How do you simplify expressions involving both multiplication and division of powers?

**Tip:** Remember that when multiplying terms with the same base, you always add the exponents.

Learn how to simplify the expression x^7 × x^6 by applying the product of powers rule for exponentiation. Understand the process step-by-step and solidify your knowledge of algebraic exponent rules. This problem is suitable for students in Grades 7-8.

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