Question

simplify.
\\(\frac{18u^3}{6u}\\)

Explanation:

Step1: Simplify the coefficients

Divide the coefficient of the numerator (18) by the coefficient of the denominator (6). So, $\frac{18}{6} = 3$.

Step2: Simplify the variables

For the variable \( u \), we use the rule of exponents \( \frac{u^m}{u^n}=u^{m - n} \). Here, \( m = 3 \) and \( n = 1 \), so \( \frac{u^3}{u}=u^{3 - 1}=u^2 \).

Step3: Combine the results

Multiply the simplified coefficient and the simplified variable. So, \( 3\times u^2 = 3u^2 \).

Answer:

\( 3u^2 \)