Question

simplify :- 9^6×4×12^4/6^3×8^2×27×3^10​

Answer 1

Answer:

$\frac{ {9}^{6} \times 4 \times {12}^{4} }{ {6}^{3} \times {8}^{2} \times 27 \times {3}^{10} } = \frac{ {3}^{12} \times {2}^{2} \times {3}^{4} \times {2}^{8} }{ {2}^{3} \times {3}^{3} \times {2}^{6} \times {3}^{3} \times {3}^{10} } =$

$\frac{ {3}^{(12 + 4)} \times {2}^{(2 + 8)} }{ {2}^{(3 + 6)} \times {3}^{(3 + 3 + 10)} } = \frac{ {3}^{16} \times {2}^{10} }{ {2}^{9} \times {3}^{16} } = 2$

Ans.