Question
Multiply and simplify. \( (7 y)^{9} \cdot(7 y)^{2} \)
Ask by Hilton Craig. in the United States
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( 7^{11}y^{11} \)
Solution
Calculate or simplify the expression \( (7*y)^9*(7*y)^2 \).
Simplify the expression by following steps:
- step0: Solution:
\(\left(7y\right)^{9}\left(7y\right)^{2}\)
- step1: Rewrite the expression:
\(7^{9}y^{9}\times 49y^{2}\)
- step2: Multiply the numbers:
\(7^{11}y^{9}\times y^{2}\)
- step3: Multiply the terms:
\(7^{11}y^{11}\)
The simplified form of \( (7y)^9 \cdot (7y)^2 \) is \( 7^{11}y^{11} \).
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Bonus Knowledge
To multiply powers with the same base, you add the exponents. So for \( (7y)^{9} \cdot (7y)^{2} \), you simply add \( 9 + 2 \) to get \( (7y)^{11} \). The simplified expression is \( 7^{11} y^{11} \). So, the final answer is \( (7y)^{11} \).
