Question

вычислите 5^4+5*3^6/5^3+5^2*3^2

Answer 1

$\frac{5^4+5*3^6}{5^3+5^2*3^2} = \frac{5(5^3+3^6)}{5^2(5+3^2)} = \frac{5^3+(3^2)^3}{5(5+9)} = \frac{5^3+9^3}{5(5+9)} = \frac{(5+9)(5^2-5*9+9^2)}{5(5+9)} =$

$= \frac{25-45+81}{5} = \frac{61}{5} =12,2$