5. Perform the indicated operation. -6x^3(x^4-5) -6x^3(x^4-5)= (Simplify your answer.)

To perform the indicated operation, we need to distribute the term \(-6x^3\) to each term inside the parentheses.<br /><br />\[<br />-6x^3(x^4 - 5)<br />\]<br /><br />First, distribute \(-6x^3\) to \(x^4\):<br /><br />\[<br />-6x^3 \cdot x^4 = -6x^{3+4} = -6x^7<br />\]<br /><br />Next, distribute \(-6x^3\) to \(-5\):<br /><br />\[<br />-6x^3 \cdot (-5) = 30x^3<br />\]<br /><br />Now, combine these results:<br /><br />\[<br />-6x^7 + 30x^3<br />\]<br /><br />So, the simplified answer is:<br /><br />\[<br />-6x^7 + 30x^3<br />\]