Final answer:
To multiply p3 by p2, you add the exponents together because the base is the same, resulting in p5. This follows the rule of adding exponents when multiplying like bases. Option A is correct.
Step-by-step explanation:
To write p3 x p2 without exponents, we follow the rule for multiplying exponential terms with the same base. The rule is that when we multiply together two exponents with the same base, we keep the base and add the exponents. So, in this case, p raised to the 3rd power times p raised to the 2nd power is p to the power of 3+2, which simplifies to p to the 5th power, or p5.
Step-by-step explanation:
Identify that we are multiplying two powers of the same base (p).
Add the exponents according to the rule xPx9 = x(p+q), where p and q are the exponents.
p3 x p2 becomes p(3+2).
Calculate the sum of the exponents: 3+2=5.
Write the final answer as p5.
Therefore, the correct answer is Option A) p5.
To write p3 x p2 without exponents, we can expand the expressions and multiply the corresponding terms. The term p3 represents p * p * p, and the term p2 represents p * p. Thus, multiplying them together gives us p * p * p * p * p, which can be simplified to p5. Therefore, the answer is A) p5.