Question

Without actual division find whether the rational no. 1323/(6×6×6×35×35)

Answer 1

solution:

$considering this number,we must simplify it\\</p><p>\frac{1323}{6^3\times35^2}\\</p><p>1323=3^3\times 7^2\\</p><p>6^3\times 35^2=(2\times3)^3\times(5\times7)^2=2^2\times3^3\times5^2\times7^2\\</p><p>thus its given,\\</p><p>\frac{3^3\times7^2}{(2^3\times3^3\times5^2\times7^2)}\\</p><p>=\frac{1}{(2^3\times5^2)}\\</p><p>=\frac{1}{200}\\</p><p>=0.005$