Question

Simplify the expression 3^12. 3^-5

Answer 1

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Answer 2

Your answer is not clear!

Answer 3

To simplify the expression \( 3^{12} \cdot 3^{-5} \), you can use the property of exponents that states \( a^m \cdot a^n = a^{m+n} \).

Applying this property:

\[
3^{12} \cdot 3^{-5} = 3^{12 + (-5)} = 3^{12 - 5} = 3^7
\]

Therefore, the simplified expression is:

\[
3^7
\]

Answer 4

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Answer 5

I apologize for any confusion. Let’s go through the simplification of the expression \(3^{12} \cdot 3^{-5}\) step-by-step to make it clearer.

1. **Identify the base and the exponents**: You have \(3^{12}\) and \(3^{-5}\), both with the same base (3).

2. **Use the rule of exponents**: When you multiply powers with the same base, you add their exponents:
\[
a^m \cdot a^n = a^{m+n}
\]
Here, \(m = 12\) and \(n = -5\).

3. **Add the exponents**:
\[
12 + (-5) = 12 - 5 = 7
\]

4. **Combine the result**: Therefore,
\[
3^{12} \cdot 3^{-5} = 3^7
\]

So, the simplified expression is:
\[
3^7
\]

If this explanation is still unclear, please let me know what specific part you’d like more clarification on!