Question

Divide.
StartFraction negative 18 y Superscript 8 Over negative 6 y Superscript 5 EndFraction
Question content area bottom
Part 1
The quotient is
  
enter your response here.
​(Simplify your​ answer.)

Answer 1

To divide the expression \(\frac{-18y^8}{-6y^5}\), follow these steps:

1. **Divide the coefficients**:
\[
\frac{-18}{-6} = 3
\]

2. **Subtract the exponents of \(y\)** (using the property \(\frac{a^m}{a^n} = a^{m-n}\)):
\[
\frac{y^8}{y^5} = y^{8-5} = y^3
\]

3. **Combine the results**:
\[
\frac{-18y^8}{-6y^5} = 3y^3
\]

Thus, the simplified quotient is:
\[
\boxed{3y^3}
\]