Simplify. Express your answer using positive exponents.

Question

(2g^6)(4g^46)

Answer 1

To simplify the expression \((2g^6)(4g^{46})\), follow these steps:

1. Multiply the coefficients: \(2 \times 4 = 8\).
2. Add the exponents of \(g\): When multiplying like bases, you add the exponents. So, \(g^6 \times g^{46} = g^{6 + 46} = g^{52}\).

Combining these results gives:

\[ (2g^6)(4g^{46}) = 8g^{52} \]

Thus, the simplified expression is:

\[ \boxed{8g^{52}} \]