\(\dfrac{9^{10}\times8^4}{18^9}\)
= \(\dfrac{9^{10}\times2^{12}}{9^9\times2^9}\)
= 9 \(\times\) 23
= 9 \(\times\) 8
= 72
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\(\dfrac{9^{10}\times8^4}{18^9}\)
\(=\dfrac{\left(3^2\right)^{10}\times\left(2^3\right)^4}{\left(2\times3^2\right)^9}\)
\(=\dfrac{3^{20}\times2^{12}}{2^9\times3^{18}}\)
\(=\dfrac{3^2\times2^3}{1\times1}\)
\(=9\times8=72\)
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