Question

Rút gọn:

\(\frac{2^5.6^{14}.10^7}{2.8^8.3^5.15^7}\)

Answer 1

\(\frac{2^5\cdot6^{14}\cdot10^7}{2\cdot8^8\cdot3^5\cdot15^7}\)

\(=\frac{2^5\cdot2^{14}\cdot3^{14}\cdot2^7\cdot5^7}{2\cdot2^8\cdot2^8\cdot2^8\cdot3^5\cdot3^7\cdot5^7}\)

\(=\frac{2^{26}\cdot3^{14}\cdot5^7}{2^{25}\cdot3^{12}\cdot5^7}\)

\(=2\cdot3^2\)

= 2 x 9

= 18

Answer 2

\(\frac{2^5\cdot2^{14}\cdot3^{14}\cdot2^7\cdot5^7}{2\cdot\left(2^3\right)^8\cdot3^5\cdot3^7\cdot5^7}=\frac{2^{26}\cdot3^{14}\cdot5^7}{2^{25}\cdot3^{12}\cdot5^7}=2\cdot3^2=18\)

Answer 3

\(\frac{2^5.6^{14}.10^7}{2.8^8.3^5.15^7}\)

\(=\frac{2^5.2^{14}.3^{14}.2^7.5^7}{2.2^{24}.3^5.3^7.5^7}\)

\(=\frac{2^{26}.3^{14}.5^7}{2^{25}.3^{12}.5^7}\)

\(=2.3^2\)

\(=2.9\)

\(=18\)