%5E3-simplified.jpeg "(5np^3)^3 Simplified")
Simplifying (5np^3)^3
This expression involves simplifying a power raised to another power. To do this, we use the following rule of exponents:
(a^m)^n = a^(m*n)
Let's break down the simplification step-by-step:
-
Apply the rule: We have (5np^3)^3. Here, a = 5np^3, m = 1, and n = 3. Applying the rule, we get:
(5np^3)^3 = 5^(13) * n^(13) * (p^3)^(1*3)
-
Simplify the exponents:
5^(13) * n^(13) * (p^3)^(1*3) = 5^3 * n^3 * p^9
-
Calculate 5^3:
5^3 * n^3 * p^9 = 125n^3p^9
Therefore, the simplified form of (5np^3)^3 is 125n^3p^9.