Simplify. Express your answer using positive exponents.

Question

(2q)(6q8)

Answer 1

To simplify the expression \((2q)(6q^8)\), you can follow these steps:

1. Multiply the coefficients: \[ 2 \times 6 = 12 \]

2. Multiply the variables: When you multiply terms with the same base, you add their exponents. Here, \(q\) has an exponent of \(1\) in the term \(2q\) and \(8\) in the term \(6q^8\): \[ q^1 \times q^8 = q^{1 + 8} = q^9 \]

3. Combine the results: Putting it all together, you get: \[ (2q)(6q^8) = 12q^9 \]

Thus, the simplified expression is \(\boxed{12q^9}\).