Question

Алгебра, 2.2 вычислите.

Answer 1

а) (5^6*5^3)/(5^8)=5
б) (3^6*2^16)/(3^5*2^(3*5))=(3^6*2^16)/(3^5*2^15)=3*2=6

Answer 2

$frac{5^6cdot 125}{25^4}=frac{5^6cdot 5^3}{(5^2)^4}=frac{5^9}{5^8}=5^{9-8}=5\\\frac{3^6cdot 2^{16}}{24^5}=frac{3^6cdot 2^{16}}{(2^3cdot 3)^5}=frac{3^6cdot 2^{16}}{2^{15}cdot 3^5}=2^{16-15}cdot 3^{6-5}=2cdot 3=6$