Question

simplify. express your answer using positive exponents. $z^{3}cdot z^{9}$

Explanation:

Step1: Multiply the coefficients

$3\times9 = 27$

Step2: Use exponent - rule for same base

When multiplying terms with the same base $z$, we add the exponents. Here, $z^1\times z^8=z^{1 + 8}=z^9$

Step3: Combine results

The simplified form is $27z^9$

Answer:

$27z^9$