Question

simplify. express your answer using positive exponents.
$p^2 \cdot p^2$

Explanation:

Step1: Recall exponent rule for multiplication

When multiplying two powers with the same base, we add the exponents. The rule is \( a^m \cdot a^n = a^{m + n} \), where \( a \) is the base and \( m, n \) are exponents. Here, the base \( a = p \), \( m = 2 \), and \( n = 2 \).

Step2: Apply the exponent rule

Using the rule \( p^2 \cdot p^2 = p^{2 + 2} \)

Step3: Simplify the exponent

Calculate \( 2 + 2 = 4 \), so \( p^{2 + 2} = p^4 \)

Answer:

\( p^4 \)