Question

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

Answer 1

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