Question

(9^2×18^4)/3^16 the value is?

Answer 1

$\frac{ {9}^{2} \times {18}^{4} }{ {3}^{16} } \\ \\ = \frac{( {3}^{2} )^{2} \times {(9 \times 2)}^{4} }{ {3}^{16} } \\ \\ = \frac{ {3}^{4} \times { ({3}^{2}) }^{4} \times {2}^{4} }{ {3}^{16} } \\ \\ = \frac{ {3}^{4} \times {3}^{8} \times {2}^{4} }{ {3}^{16} } \\ \\ = \frac{ {3}^{12} \times {2}^{4} }{ {3}^{16} } \\ \\ = \frac{ {2}^{4} }{ {3}^{4} } \\ \\ = { (\frac{2}{3}) }^{4} \\ \\ = \frac{16}{81}$

hope it helps

Answer 2

$\frac{ {9}^{2} \times {18}^{4} }{ {3}^{16} } \\ \frac{ {3}^{4} \times {( {3}^{2} \times 2)}^{4} }{ {3}^{16} } \\ \frac{ {3}^{4} \times {3}^{8} \times {2}^{4} }{ {3}^{16} } \\ \frac{ {3}^{12} \times {2}^{4} }{ {3}^{16} } \\ \frac{ {2}^{4} }{ {3}^{(16 - 12)} } \\ \frac{ {2}^{4} }{ {3}^{4} }$