Question

 giúp mik với(là phân số nha)

tính giá trị của biểu thức

11.3²².3⁷-9¹⁵ /  (2.3¹⁴)²

Answer 1

\(\frac{11.3^{22}.3^7-9^{15}}{\left(2.3^{14}\right)^2}\)

\(=\frac{11.3^{22}.3^7-\left(3^2\right)^{15}}{\left(2.3^{14}\right)^2}\)

\(=\frac{11.3^{22}.3^7-3^{30}}{\left(2.3^{14}\right)^2}\)

\(=\frac{11.3^{29}-3^{30}}{\left(2.3^{14}\right)^2}\)

\(=\frac{11.3^{29}-3^{30}}{2^2.3^{28}}\)

\(=\frac{11.3^{29}-3.3^{29}}{4.3^{28}}\)

\(=\frac{\left(11-3\right).3^{29}}{4.3^{28}}\)

\(=\frac{8.3^{29}}{4.3^{28}}\)

\(=2.3=6\)