Question

selected response: 1 point for correct answer only
simplify: y^{5} cdot y^{3}

circ 2y^{8}

circ y^{15}

circ y^{8}

circ y^{2}

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 \( a = y \), \( m = 5 \), and \( n = 3 \).

Step2: Apply the rule to \( y^5 \cdot y^3 \)

Using the rule \( y^5 \cdot y^3 = y^{5 + 3} \).

Step3: Calculate the exponent

Simplify the exponent: \( 5 + 3 = 8 \), so \( y^5 \cdot y^3 = y^8 \).

Answer:

\( y^8 \) (corresponding to the option with \( y^8 \))