simplify the following expression

Question

4x^3 dot 2x^5

Answer 1

To simplify the expression \( 4x^3 \cdot 2x^5 \), follow these steps:

1. Multiply the coefficients (the numbers in front). \[ 4 \cdot 2 = 8 \]

2. Use the property of exponents that states when you multiply powers with the same base, you add the exponents: \[ x^3 \cdot x^5 = x^{3+5} = x^8 \]

3. Combine the results: \[ 4x^3 \cdot 2x^5 = 8x^8 \]

Thus, the simplified expression is:

\[ \boxed{8x^8} \]