Question

Evaluate: $\frac{4^6\times 9^2\times {25}^2}{3^2\times 4^2\times {15}^3}$

Answer 1

$\frac{4^6\times 9^2\times {25}^2}{3^2\times 4^2\times {15}^3}=\frac{4^6\times 3^4\times 5^4}{3^2\times 3^3\times 5^3\times 4^2}$

$=4^{6-2}\times 3^{4-5}\times 5^{4-3}$

$=4^4\times 3^{-1}\times 5=\frac{1280}{3}=426.66$