Question

simplify. express your answer using positive exponents.
$h^6 \cdot h^3$

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 \(h\), \(m = 6\), and \(n = 3\).

Step2: Apply the rule

For \(h^6 \cdot h^3\), add the exponents: \(6 + 3 = 9\), so \(h^6 \cdot h^3 = h^9\).

Answer:

\(h^9\)