Write an equation that expresses the relationship. Then solve the equation for $$ u $$. $$ n $$ varies directly as the cube of $$ b $$ and inversely as $$ u $$. $$ n=\square $$ (Use k as the constant of variation.)

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To express the relationship described in the problem, we can write the equation as follows:

$$
n = k \frac{b^3}{u}
$$

where $$ k $$ is the constant of variation.

Now, we need to solve this equation for $$ u $$. We can rearrange the equation to isolate $$ u $$:

1. Multiply both sides by $$ u $$:
   $$
   n \cdot u = k \cdot b^3
   $$

2. Now, divide both sides by $$ n $$:
   $$
   u = \frac{k \cdot b^3}{n}
   $$

Thus, the equation solved for $$ u $$ is:

$$
u = \frac{k \cdot b^3}{n}
$$
$$ u = \frac{k \cdot b^3}{n} $$

Write an equation that expresses the relationship. Then solve the equation for \( u \). \( n \) varies directly as the cube of \( b \) and inversely as \( u \). \( n=\square \) (Use k as the constant of variation.)

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