Question
Question Watch Video Show Fully simplify. \[ -15 y^{3}\left(5 x^{2} y\right) \] Answer Attempt 1 out of 2 \( \square \) Submit Answer
Ask by Hodges Simmons. in the United States
Feb 03,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\[
-75 x^{2} y^{4}
\]
Solution
To fully simplify the expression:
\[
-15 y^{3}\left(5 x^{2} y\right)
\]
**Step 1: Multiply the coefficients**
\[
-15 \times 5 = -75
\]
**Step 2: Multiply the like terms for \( y \)**
\[
y^{3} \times y = y^{4}
\]
**Step 3: Bring down the remaining term \( x^{2} \)**
Combining all the parts, the fully simplified expression is:
\[
-75 x^{2} y^{4}
\]
**Final Answer:**
\[
-75 x^{2} y^{4}
\]
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Mind Expander
To simplify the expression \(-15y^3(5x^2y)\), you multiply the coefficients and then the variables. First, multiply \(-15\) by \(5\) to get \(-75\). Then, combine the \(y\) variables: \(y^3 \cdot y = y^{3+1} = y^4\). So, the fully simplified expression is \(-75x^2y^4\). Keep practicing with different expressions! Simplifying often comes down to remembering the rules of exponents and how to combine like terms efficiently.
