Question

Thực hiện phép tính: \(\frac{5^{10}.7^3-25^5.49^2}{\left(125.7\right)^3+5^9.14^3}\)

Answer 1

\(\frac{5^{10}.7^3-25^5.49^2}{\left(125.7\right)^3+5^9.14^3}\)

\(=\frac{5^{10}.7^3-\left(5^2\right)^5.\left(7^2\right)^2}{\left(5^3\right)^3.7^3+5^9.7^3.2^3}\)

\(=\frac{5^{10}.7^3-5^{10}.7^4}{5^9.7^3+5^9.7^3.8}\)

\(=\frac{5^{10}.7^3.\left(1-7\right)}{5^9.7^3.\left(1+8\right)}\)

\(=\frac{5.6}{9}=\frac{5.2}{3}=\frac{10}{3}\)

Vậy : \(\frac{5^{10}.7^3-25^5.49^2}{\left(125.7\right)^3+5^9.14^3}=\frac{10}{3}\)

Chúc bạn học tốt !!

Answer 2

Bạn rút gọn đi nhé!

Answer 3