Express the following fraction in simplest form using only positive exponents. $$ \frac{12 u^{7}}{4(u)^{4}} $$

Question

UpStudy AI · Accepted Answer

To simplify the fraction $$\frac{12 u^{7}}{4 u^{4}}$$ using only positive exponents, follow these steps:

1. **Simplify the coefficients:**
   $$
   \frac{12}{4} = 3
   $$

2. **Simplify the variables using the laws of exponents:**
   $$
   \frac{u^{7}}{u^{4}} = u^{7-4} = u^{3}
   $$

3. **Combine the simplified coefficients and variables:**
   $$
   3u^{3}
   $$

So, the fraction in its simplest form is:

$$
\boxed{3u^{3}}
$$
The simplified form of the fraction is $$3u^{3}$$.

Express the following fraction in simplest form using only positive exponents. \[ \frac{12 u^{7}}{4(u)^{4}} \]