Question

simplify. express your answer using positive exponents.
$y^{7} \cdot y^{2}$

Explanation:

Step1: Recall exponent rule for multiplication

When multiplying two powers with the same base, we add the exponents: \(a^m \cdot a^n = a^{m + n}\). Here, the base is \(y\), \(m = 7\), and \(n = 2\).

Step2: Apply the rule

For \(y^7 \cdot y^2\), add the exponents: \(y^{7 + 2}=y^9\).

Answer:

\(y^9\)