For this case we must resolve the following expression:
[tex](-7p) ^ 3[/tex]
So:
[tex](-7p) ^ 3 =\\(-7p) (- 7p) (- 7p) =[/tex]
By law of multiplication of signs we have:
[tex]- * - = +\\+ * - = -[/tex]
Also:
[tex]7 * 7 * 7 = 343\\p * p * p = p ^ 3[/tex]
Finally, we have that the expression is equivalent to:
[tex](-7p) ^ 3 = -343p ^ 3[/tex]
ANswer:
[tex]-343p ^ 3[/tex]