Question
Multiply and leave your answer in exponent form. \( \left(7^{9}\right)\left(7^{5}\right) \)
Ask by Warner Frank. in the United States
Jan 21,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\(7^{14}\)
Solution
To multiply exponential terms with the same base, you add their exponents.
\[
7^{9} \times 7^{5} = 7^{9+5} = 7^{14}
\]
**Answer:** \(7^{14}\)
Reviewed and approved by the UpStudy tutoring team
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The Deep Dive
When you multiply powers with the same base, you simply add the exponents. So, for \( \left(7^{9}\right)\left(7^{5}\right) \), you would do \( 9 + 5 = 14 \). Thus, the expression simplifies to \( 7^{14} \). Now, it's like having a fun little math party with the same base, where they combine their powers and leave as \( 7^{14} \) for the grand finale! Keep that exponent party going when you multiply!