Question

\(\frac{3^6.45^4-15^{13}.5^{-9}}{27^4.25^3+45^6}\)

Mọi người giúp mk giải vs nha.Cảm ơn mọi người!!!

Answer 1

mọi người giải chi tiết nha

Answer 2

\(\frac{3^6.45^6-15^{13}.5^{-9}}{27^4.25^3+45^6}\)

\(=\frac{3^6.\left(9.5\right)^4-\left(3.5\right)^{13}.5^{-9}}{\left(3^2\right)^4.\left(5^2\right)^3+\left(9.5\right)^6}\)

\(=\frac{3^6.9^4.5^4-3^{13}.5^{13}.5^{-9}}{3^8.5^6+9^6.5^6}\)

\(=\frac{3^6.\left(3^2\right)^4.5^4-3^{13}.\left(5^{13}.5^{-9}\right)}{3^8.5^6+\left(3^2\right)^6.5^6}\)

\(=\frac{3^6.3^8.5^4-3^{13}.5^4}{3^8.5^6+3^{12}.5^6}\)

\(=\frac{3^{13}.5^4.\left(3-1\right)}{3^8.5^6.\left(1+3^4\right)}\)

\(=\frac{3^5.2}{5^2.82}\)

\(=\frac{3^4}{5^2.41}\)

\(=\frac{81}{1025}\)