Question

Simplify the expression.

(4x^2)(2.4x^5)

Answer 1

To simplify the expression \((4x^2)(2.4x^5)\), follow these steps:

1. Multiply the numerical coefficients: \(4\) and \(2.4\).
2. For the variable parts, use the property of exponents that states \(x^a \cdot x^b = x^{a+b}\).

Let's do the calculations:

1. **Multiply the coefficients**:
\[
4 \times 2.4 = 9.6
\]

2. **Add the exponents for \(x\)**:
\[
x^2 \cdot x^5 = x^{2+5} = x^7
\]

Now, combine the results:

\[
(4x^2)(2.4x^5) = 9.6x^7
\]

Thus, the simplified expression is:

\[
\boxed{9.6x^7}
\]