100th power

100th power

6300/6600 to the 100th power

$\begin{array}{rcll} \left( \frac{ 6300 } { 6600 } \right) ^{100} &=& \left( \frac{ 21 } { 22 } \right) ^{100} \\\\ &=& \left( 0.9\overline{54} \right) ^{100} \\\\ \mathbf{ \left( \frac{ 6300 } { 6600 } \right) ^{100} } & \mathbf{=} & \mathbf{0.00954248292} \end{array}$