Question

−15xy(15x
5
y
3
)

Answer 1

To simplify the expression \(-15xy(15x^5y^3)\), we can follow these steps:

1. **Distribute** \(-15xy\) into the parentheses.

This means we multiply \(-15xy\) by each term inside the parentheses:

\[
-15xy \cdot 15x^5y^3
\]

2. **Multiply the coefficients**:
\(-15\) and \(15\):
\[
-15 \times 15 = -225
\]

3. **Multiply the \(x\) terms**:
\(x \cdot x^5 = x^{1+5} = x^6\)

4. **Multiply the \(y\) terms**:
\(y \cdot y^3 = y^{1+3} = y^4\)

Putting it all together, we have:

\[
-15xy(15x^5y^3) = -225x^6y^4
\]

So, the simplified expression is:

\[
-225x^6y^4
\]