Question

question 10 of 20
simplify $4g^9 \cdot 4g^2$
select the correct response:
$4g^{11}$
$16g^{11}$
$16g^{18}$
$8g^{18}$
$8g^{11}$

Explanation:

Step1: Multiply the coefficients

The coefficients are 4 and 4. Multiply them: \(4\times4 = 16\).

Step2: Multiply the variables with exponents

For the variable \(g\), we use the rule of exponents \(a^m\cdot a^n=a^{m + n}\). So \(g^9\cdot g^2=g^{9 + 2}=g^{11}\).

Step3: Combine the results

Combine the coefficient and the variable: \(16\times g^{11}=16g^{11}\).

Answer:

\(16g^{11}\) (corresponding to the option "16\(g^{11}\)")