%5E3.jpeg "(-5p^3)^3")
Simplifying (-5p^3)^3
This expression involves exponents and parentheses. To simplify it, we'll use the following rules:
1. Power of a Product Rule: (ab)^n = a^n * b^n 2. Power of a Power Rule: (a^m)^n = a^(m*n)
Let's break down the simplification step-by-step:
-
Apply the Power of a Product Rule: (-5p^3)^3 = (-5)^3 * (p^3)^3
-
Apply the Power of a Power Rule: (-5)^3 * (p^3)^3 = -125 * p^(3*3)
-
Simplify the exponents: -125 * p^(3*3) = -125p^9
Therefore, the simplified form of (-5p^3)^3 is -125p^9.