To simplify \( 2^{10} \times 2^2 \), use the rule of exponents: \( a^m \times a^n = a^{m+n} \).

\[
2^{10} \times 2^2 = 2^{10 + 2} = 2^{12}
\]

Now, calculate \( 2^{12} \):

\[
2^{12} = 4096
\]

Thus, \( 2^{10} \times 2^2 = 4096 \).

Would you like a more detailed explanation, or do you have any further questions?

Here are 5 related questions for further exploration:
1. What is \( 2^5 \times 2^3 \)?
2. How do you simplify \( 3^4 \times 3^2 \)?
3. What is the value of \( 5^6 \times 5^2 \)?
4. How do you simplify \( (2^3)^4 \)?
5. What is the value of \( 2^7 \times 2^5 \)?

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

Discover how to simplify the expression 2¹⁰ × 2² using the exponent addition rule. This problem involves multiplying powers with the same base, leading to the solution 2¹² = 4096. Ideal for students in Grades 6-8 exploring the laws of exponents.

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