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

Question

UpStudy AI · Accepted Answer

To simplify the expression $$ \frac{110 x^{5} y^{3}}{55 x^{2} y^{7}} $$, follow these steps:

1. **Divide the coefficients:**
   $$
   \frac{110}{55} = 2
   $$

2. **Divide the $$x$$-terms using the laws of exponents ($$x^a / x^b = x^{a-b}$$):**
   $$
   \frac{x^{5}}{x^{2}} = x^{5-2} = x^{3}
   $$

3. **Divide the $$y$$-terms using the laws of exponents ($$y^a / y^b = y^{a-b}$$):**
   $$
   \frac{y^{3}}{y^{7}} = y^{3-7} = y^{-4}
   $$

Putting it all together:
$$
2x^{3}y^{-4}
$$

**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. \( \frac{110 x^{5} y^{3}}{55 x^{2} y^{7}} \)