11xy^{-1}z^{0} / v^{-3}

Steps to Solve

1. Identify and simplify the expression components

The expression is given by

$$ \frac{11xy^{-1}z^{0}}{v^{-3}} $$

Here, we can simplify:

• The term $z^{0}$ is equal to $1$ (since any number raised to the power of 0 is 1).
• The term $y^{-1}$ can be rewritten as $\frac{1}{y}$.
• The term $v^{-3}$ can be rewritten as $\frac{1}{v^3}$ in the denominator, which means it will be moved to the numerator as $v^3$.

So the expression simplifies to:

$$ \frac{11x \cdot \frac{1}{y} \cdot 1}{\frac{1}{v^3}} = 11x \cdot \frac{1}{y} \cdot v^3 $$

2. Reorganize the simplified expression

We need to organize our final expression in a standard multi-variable format.

Thus we have:

$$ \frac{11x v^3}{y} $$

3. Final expression interpretation

The final expression after complete simplification is:

$$ \frac{11xv^3}{y} $$

This shows the relationship between the variables clearly, incorporating all the necessary components.