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

Ask by Adkins Dunn. 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 $$ \frac{110 x^{5} y^{3}}{55 x^{2} y^{7}} $$, 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.