Simplify the following
$\frac{12^{4}\times2^{4}\times9^{3}}{6^{3}\times64\times3^{3}}$
Given:$\frac{12^{4}\times2^{4}\times9^{3}}{6^{3}\times64\times3^{3}}$
To do: Simplify the equation
Solution:
=$\frac{12\times12\times12\times12\times2\times2\times2\times2\times9\times9\times}{6\times6\times6\times64\times3\times3\times3}$
=$\frac{2\times2\times2\times12\times2\times2\times2\times2\times3}{64}$
[$6\times2 = 12, 3\times3 = 9$]
=$\frac{8\times12\times3}{4}$
[$2\times2\times2\times2 = 16 and 16\times4 =64$]
=$2\times12\times3$
[$4\times2$]
=72
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