Question

Thực hiện phép tính

\(\frac{27^3\cdot4^5}{6^8}:\left(\frac{5^5\cdot2^4}{10^4}:\frac{6^4}{2^6\cdot3^4}\right)\)

Tính nhanh hộ mình :))

Answer 1

\(\frac{27^3.4^5}{6^8}:\left(\frac{5^5.2^4}{10^4}:\frac{6^4}{2^6.3^4}\right)\)

\(=\frac{3^9.2^{10}}{6^8}:\left(5:\frac{1}{2^2}\right)\)\(=3.2^2:20=\frac{12}{20}=\frac{3}{5}\)

Answer 2

\(\frac{27^3.4^5}{6^8}:\left(\frac{5^5.2^4}{10^4}:\frac{6^4}{2^6.3^4}\right)\)

\(=\frac{\left(3^3\right)^3.\left(2^2\right)^5}{\left(3.2\right)^8}:\left(\frac{5^5.2^4}{\left(5.2\right)^4}:\frac{\left(2.3\right)^4}{2^6.3^4}\right)\)

\(=\frac{3^9.2^{10}}{3^8.2^8}:\left(\frac{5^5.2^4}{5^4.2^4}:\frac{2^4.3^4}{2^6.3^4}\right)\)

\(=3.2^2:\left(5:\frac{1}{2^2}\right)\)

\(=3.4:\left(5.4\right)\)

\(=12:20\)

\(=\frac{12}{20}=\frac{3}{5}\)