Question

Simplify expression answer using positive exponents

10f^8g^9 c 9f^4g9

Answer 1

To simplify the expression \(10f^8g^9 \cdot 9f^4g^9\), we can follow these steps:

1. **Multiply the coefficients**:
\[
10 \cdot 9 = 90
\]

2. **Combine the \(f\) terms**:
\[
f^8 \cdot f^4 = f^{8+4} = f^{12}
\]

3. **Combine the \(g\) terms**:
\[
g^9 \cdot g^9 = g^{9+9} = g^{18}
\]

Putting it all together, we have:
\[
10f^8g^9 \cdot 9f^4g^9 = 90f^{12}g^{18}
\]

Thus, the simplified expression is:
\[
\boxed{90f^{12}g^{18}}
\]