To simplify the expression \((4x^2)(2.4x^5)\), follow these steps:
- Multiply the numerical coefficients: \(4\) and \(2.4\).
- For the variable parts, use the property of exponents that states \(x^a \cdot x^b = x^{a+b}\).
Let's do the calculations:
-
Multiply the coefficients: \[ 4 \times 2.4 = 9.6 \]
-
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:
\[ \boxed{9.6x^7} \]