Divide. Leave your answer in exponent form. Assume that all variables in any denominator are nonzero.

Ask by Turner Tucker. in the United States

Jan 21,2025

Question

Divide. Leave your answer in exponent form. Assume that all variables in any denominator are nonzero. $$ \frac{110 x^{5} y^{3}}{55 x^{2} y^{7}} $$

UpStudy AI · Accepted Answer

To simplify the expression $$ \frac{110 x^{5} y^{3}}{55 x^{2} y^{7}} $$ and express the answer in exponent form, follow these steps:

1. **Simplify the Coefficients:**
   $$
   \frac{110}{55} = 2
   $$

2. **Simplify the $$x$$-Terms:**
   $$
   \frac{x^{5}}{x^{2}} = x^{5-2} = x^{3}
   $$

3. **Simplify the $$y$$-Terms:**
   $$
   \frac{y^{3}}{y^{7}} = y^{3-7} = y^{-4}
   $$

4. **Combine All Parts:**
   $$
   2 \cdot x^{3} \cdot y^{-4} = 2x^{3}y^{-4}
   $$

**Final Answer:**
$$
2x^{3} y^{-4}
$$
$$ 2x^{3} y^{-4} $$

Divide. Leave your answer in exponent form. Assume that all variables in any denominator are nonzero.