Question

simplify. express your answer using positive exponents. 5v^9·4v^8

Explanation:

Step1: Multiply coefficients

$5\times4 = 20$

Step2: Use exponent - rule for multiplying like - bases

When multiplying two terms with the same base $v$, we add the exponents. So $v^{9}\cdot v^{8}=v^{9 + 8}=v^{17}$

Step3: Combine results

The simplified expression is the product of the result from Step 1 and Step 2, which is $20v^{17}$

Answer:

$20v^{17}$