12^7×28^6÷21^7×16^6

asked by guest
on Nov 20, 2024 at 5:25 am



You asked:

Evaluate the expression: 127⋅286217⋅166\frac{{12}^{7} \cdot {28}^{6}}{{21}^{7}} \cdot {16}^{6}

MathBot Answer:

127⋅286217⋅166=11258999068426247=160842843834660.571428‾\frac{{12}^{7} \cdot {28}^{6}}{{21}^{7}} \cdot {16}^{6} = \frac{1125899906842624}{7} = 160842843834660.\overline{571428}

127⋅286217⋅166=35831808⋅286217⋅166=35831808⋅481890304217⋅166=17267000849989632217⋅166=172670008499896321801088541⋅166=671088647⋅166=671088647⋅16777216=11258999068426247\begin{aligned}\frac{{12}^{7} \cdot {28}^{6}}{{21}^{7}} \cdot {16}^{6}&=\frac{35831808 \cdot {28}^{6}}{{21}^{7}} \cdot {16}^{6}\\&=\frac{35831808 \cdot 481890304}{{21}^{7}} \cdot {16}^{6}\\&=\frac{17267000849989632}{{21}^{7}} \cdot {16}^{6}\\&=\frac{17267000849989632}{1801088541} \cdot {16}^{6}\\&=\frac{67108864}{7} \cdot {16}^{6}\\&=\frac{67108864}{7} \cdot 16777216\\&=\frac{1125899906842624}{7}\end{aligned}

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