Ta có: 2^4 = 16 , 6^7= 279936
9^3=729, 4^6= 4096
Và 16.279936=4478976
729.4096=2985984
=> 4478976:2985984= \(\frac{3}{2}\)
Vậy kết quả của phép tính là \(\frac{3}{2}\)
\(\frac{2^4.6^7}{9^3.4^6}\)
\(=\frac{2^4.\left(2.3\right)^7}{\left(3^2\right)^3.\left(2^2\right)^6}\)
\(=\frac{2^4.2^7.3^7}{3^6.2^{12}}\)
\(=\frac{2^{11}.3^7}{3^6.2^{12}}\)
\(=\frac{3}{2}\)
\(\frac{2^4.6^7}{9^3.4^6}\)
= \(\frac{2^4.\left(2.3\right)^7}{\left(3^2\right)^3.\left(2^2\right)^6}\)
= \(\frac{2^4.2^7.3^7}{3^6.2^{12}}\)
= \(\frac{2^{11}.3^7}{3^6.2^{12}}\)
=\(\frac{3}{2}\)= 1,5