Simplify the following expression by applying the Quotient of Powers Property: $$ \frac{a^{9}b^{4}}{a^{5}b^{2}} $$

Question

UpStudy AI · Accepted Answer

To simplify the expression $$\frac{a^{9}b^{4}}{a^{5}b^{2}}$$ using the **Quotient of Powers Property**, follow these steps:

1. **Apply the Quotient of Powers Property to the $$a$$ terms:**
   $$
   \frac{a^{9}}{a^{5}} = a^{9-5} = a^{4}
   $$

2. **Apply the Quotient of Powers Property to the $$b$$ terms:**
   $$
   \frac{b^{4}}{b^{2}} = b^{4-2} = b^{2}
   $$

3. **Combine the simplified terms:**
   $$
   a^{4}b^{2}
   $$

So, the simplified form of the expression is:

$$
a^{4}b^{2}
$$

**Answer:** $$ a^{4}b^{2} $$
$$ a^{4}b^{2} $$

Simplify the following expression by applying the Quotient of Powers Property: