Question
Simplify. \[ y^{-8} \cdot y^{9} \cdot y^{6} \] Write your answer with a positive exponent only. \( \begin{array}{lll}\square & \frac{\square}{\square} \\ \square & 5\end{array} \)
Ask by Chavez Burton. in the United States
Jan 29,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( y^{7} \)
Solution
Calculate or simplify the expression \( y^{-8} \cdot y^{9} \cdot y^{6} \).
Simplify the expression by following steps:
- step0: Solution:
\(y^{-8}\times y^{9}\times y^{6}\)
- step1: Multiply the terms:
\(y^{-8+9+6}\)
- step2: Add the numbers:
\(y^{7}\)
The simplified expression is \( y^{7} \).
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Extra Insights
To simplify the expression \( y^{-8} \cdot y^{9} \cdot y^{6} \), we can use the property of exponents that states when you multiply two terms with the same base, you add the exponents. So, we combine the exponents: \[ y^{-8 + 9 + 6} = y^{(1 + 6)} = y^{7}. \] The simplified expression is \( y^{7} \). Now, filling in the boxes: \( \begin{array}{lll}\square & \frac{1}{y^5} \\ \square & 7\end{array} \)
