Final answer:
The expression p⁶ / p³ simplifies to p³ by subtracting the exponents, following the rule of dividing expressions with the same base.
Step-by-step explanation:
Simplifying the Expression p⁶ / p³
To simplify the expression p⁶ / p³, we need to use the rules of exponents. When dividing expressions with the same base, you subtract the exponents. This is similar to the rule where you add exponents when multiplying expressions with the same base, for example, xpxq = x(p+q).
Therefore, applying this rule:
p⁶ / p³ = p(6-3) = p³
The expression simplifies to p³, which is answer choice B.