Question
Using complete sentences, explain the steps you would take to simplify this problem.
12^-5 x 12^7
12^-5 x 12^7
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To simplify the expression \( 12^{-5} \times 12^{7} \), I would follow these steps:
1. **Identify the base and exponents**: The base in this expression is \( 12 \), and the exponents are \(-5\) and \(7\).
2. **Use the property of exponents**: According to the rule for multiplying powers with the same base, I would add the exponents. The rule states that \( a^m \times a^n = a^{m+n} \).
3. **Add the exponents**: I would calculate \(-5 + 7\), which equals \(2\).
4. **Rewrite the expression**: After adding the exponents, I would rewrite the original expression as \( 12^{2} \).
5. **Calculate the final result**: Finally, I would evaluate \( 12^{2} \), which equals \( 144 \).
Thus, the simplified expression is \( 144 \).
1. **Identify the base and exponents**: The base in this expression is \( 12 \), and the exponents are \(-5\) and \(7\).
2. **Use the property of exponents**: According to the rule for multiplying powers with the same base, I would add the exponents. The rule states that \( a^m \times a^n = a^{m+n} \).
3. **Add the exponents**: I would calculate \(-5 + 7\), which equals \(2\).
4. **Rewrite the expression**: After adding the exponents, I would rewrite the original expression as \( 12^{2} \).
5. **Calculate the final result**: Finally, I would evaluate \( 12^{2} \), which equals \( 144 \).
Thus, the simplified expression is \( 144 \).
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.