Question

3^4*5^6*4^4/8^2*15^4

Answer 1

$\frac{3^4\cdot 5^6\cdot 4^4}{8^2\cdot 15^4}=\frac{3^4\cdot 5^6\cdot (2^2)^4}{(2^3)^2\cdot 3^4\cdot 5^4}=\frac{3^4\cdot 5^6\cdot 2^8}{2^6\cdot 3^4\cdot 5^4}=5^2\cdot 2^2=(5\cdot 2)^2=10^2=100$