Final answer:
To solve the expression P^2*p^0*p^3*p^4, the rule of exponents for multiplication is applied wherein we add the exponents for the same base. The expression simplifies to P^(2+0+3+4) = P^9.
Step-by-step explanation:
To solve the expression P^2*p^0*p^3*p^4, we need to apply the rule of exponents for multiplication. The rule states that when multiplying two expressions with the same base, you simply add the exponents. This is represented by the equation x^p * x^q = x^(p+q). Using this rule, our expression becomes:
P^2 * P^0 * P^3 * P^4 = P^(2+0+3+4)
Since any number raised to the power of zero is equal to 1, P^0 is equal to 1 and does not change the value of the product. Simplifying the expression, we have:
P^2 * 1 * P^3 * P^4 = P^(2+3+4) = P^9
Therefore, the simplified form of the expression P^2 * P^0 * P^3 * P^4 is P^9.