Question

please find this... ​

Answer 1

$\Large{\sqrt[\sf{3}]{\frac{\sf{2^6\cdot \:3^6\cdot \:4^3}}{\sf{6^6\cdot \:5^3}}}=\sqrt[\sf{3}]{\frac{\sf{2^6\cdot \:3^6\cdot \:4^3}}{\sf{(2\cdot 3)^6\cdot \:5^3}}}=\sqrt[\sf{3}]{\frac{\sf{2^6\cdot \:3^6\cdot \:4^3}}{\sf{2^6\cdot 3^6\cdot \:5^3}}}\:\:\:\:...\:\sf{Since (ab)^n = a^n\cdot b^n}}$

$\longrightarrow\:\:\Large{\sqrt[\sf{3}]{\frac{\sf{2^6\cdot \:3^6\cdot \:4^3}}{\sf{6^6\cdot \:5^3}}}=\sqrt[\sf{3}]{\frac{4^3}{5^3}}=\sqrt[\sf{3}]{\frac{64}{125}}=\frac{4}{5}}$