w = \frac{w_{I I}}{w_{I}} = \frac{{(\frac{V_{I I}}{V})}^{N}}{{(\frac{V_{I}}{V})}^{N}} = {(\frac{V_{I I}}{V_{I}})}^{N}

${w = \frac {w_{II}} {w_I} = \frac {\left (\frac {V_{II}} {V} \right)^N} {\left (\frac {V_{I}} {V} \right)^N} = \left ( \frac {V_{II}} {V_I} \right)^N}$

w = \frac{w_{I I}}{w_{I}} = \frac{{(\frac{V_{I I}}{V})}^{N}}{{(\frac{V_{I}}{V})}^{N}} = {(\frac{V_{I I}}{V_{I}})}^{N}

$w = \frac {w_{II}} {w_I} = \frac {\left (\frac {V_{II}} {V} \right)^N} {\left (\frac {V_{I}} {V} \right)^N} = \left ( \frac {V_{II}} {V_I} \right)^N$

w

$w$

\left

$\left$

Lisa