11 Simplify. $$ \frac{14 a^{3} b^{4}}{4 a b} $$

Question

UpStudy AI · Accepted Answer

1. Write the original expression:

$$
   \frac{14a^{3}b^{4}}{4ab}
   $$

2. Simplify the coefficients by dividing $$14$$ by $$4$$:

$$
   \frac{14}{4} = \frac{7}{2}
   $$

3. Simplify the $$a$$ terms by subtracting the exponents:

$$
   a^{3} \div a = a^{3-1} = a^2
   $$

4. Simplify the $$b$$ terms by subtracting the exponents:

$$
   b^{4} \div b = b^{4-1} = b^3
   $$

5. Combine the simplified components:

$$
   \frac{7a^2b^3}{2}
   $$

Thus, the simplified expression is:

$$
\frac{7a^2b^3}{2}
$$
The simplified expression is $$ \frac{7a^{2}b^{3}}{2} $$.

11 Simplify. \( \frac{14 a^{3} b^{4}}{4 a b} \)