12^7×28^6÷21^7×16^6
You asked:
Evaluate the expression: \(\frac{{12}^{7} \cdot {28}^{6}}{{21}^{7}} \cdot {16}^{6}\)
MathBot Answer:
\[\frac{{12}^{7} \cdot {28}^{6}}{{21}^{7}} \cdot {16}^{6} = \frac{1125899906842624}{7} = 160842843834660.\overline{571428}\]
\[\begin{aligned}\frac{{12}^{7} \cdot {28}^{6}}{{21}^{7}} \cdot {16}^{6}& = 12^{7} \cdot 28^{6} \cdot \frac{1}{21^{7}} \cdot 16^{6}\\& = 35831808 \cdot 28^{6} \cdot \frac{1}{21^{7}} \cdot 16^{6}\\& = 35831808 \cdot 481890304 \cdot \frac{1}{21^{7}} \cdot 16^{6}\\& = 35831808 \cdot \frac{481890304}{1801088541} \cdot 16^{6}\\& = 35831808 \cdot \frac{481890304}{1801088541} \cdot 16777216\\& = \frac{17267000849989632}{1801088541} \cdot 16777216\\& = \frac{67108864}{7} \cdot 16777216\\& = \frac{1125899906842624}{7}\end{aligned}\]