Question

simplify the expression.
p⁶ (p²)
options: p⁴, p⁸, p¹², p³

Explanation:

Step1: Recall exponent rule for multiplication

When multiplying exponential expressions with the same base, we use the rule \( a^m \cdot a^n = a^{m + n} \). Here, the base is \( p \), and we have \( p^6 \cdot p^2 \) (since \( (p^2) = p^2 \)).

Step2: Apply the exponent rule

Add the exponents: \( 6 + 2 = 8 \). So \( p^6 \cdot p^2 = p^{6 + 2} = p^8 \).

Answer:

B. \( p^8 \) (assuming the second option is \( p^8 \) as per the visual with the four options, where the second teal box has \( p^8 \))