Question
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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

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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:** \(7^{14}\)

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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!

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