Question
Simplify the following expression completely: \( \left(-3 y^{8}\right)^{2} \) Answer:
Ask by Nguyen Tyler. in the United States
Jan 26,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( 9y^{16} \)
Solution
To simplify the expression \( \left(-3 y^{8}\right)^{2} \), follow these steps:
1. **Apply the exponent to both the coefficient and the variable separately:**
\[
\left(-3 y^{8}\right)^{2} = (-3)^2 \cdot \left(y^{8}\right)^2
\]
2. **Calculate each part:**
- \( (-3)^2 = 9 \)
- \( \left(y^{8}\right)^2 = y^{8 \times 2} = y^{16} \)
3. **Combine the results:**
\[
9 \cdot y^{16} = 9y^{16}
\]
**Answer:** \( 9y^{16} \)
Reviewed and approved by the UpStudy tutoring team
Like
error msg
Explain 
Simplify this solution Extra Insights
To simplify the expression \( \left(-3 y^{8}\right)^{2} \), you will apply the power to both the coefficient and the variable. First, square the coefficient \(-3\), which becomes \(9\). Next, apply the power to the variable \(y^{8}\). When you square \(y^{8}\), you multiply the exponent by 2, which gives you \(y^{16}\). Putting it all together, the simplified expression is: \[ 9y^{16} \]
