Question

Rút gọn :

2​​^15 × 9⁴ / 6⁶  × 8​³

Answer 1

\(\frac{2^{15}\times9^4}{6^6\times8^3}=\frac{2^{15}\times\left(3^2\right)^4}{3^6\times2^6\times\left(2^3\right)^3}=\frac{2^{15}\times3^{18}}{3^6\times2^{15}}=\frac{3^8}{3^6}=3^2=9\)

Answer 2

\(\frac{2^{15}.9^4}{6^6.8^3}=\frac{2^{15}.\left(3^2\right)^4}{\left(3.2\right)^6.\left(2^3\right)^3}=\frac{2^{15}.3^8}{3^6.2^6.2^9}=\frac{2^{15}.3^8}{3^6.2^{15}}=3^2=9\)

Answer 3

\(\frac{2^{15}\text{×}9^4}{6^6\text{×}8^3}=\frac{2^{15}\text{×}\left(3^2\right)^4}{\left(2\text{×}3\right)^6\text{×}\left(2^3\right)^3}=\frac{2^{15}\text{×}3^{2\text{×}4}}{2^6\text{×}3^6\text{×}2^{3\text{×}3}}=\frac{2^{15}\text{×}3^8}{2^6\text{×}3^6\text{×}2^9}=\frac{2^{15}\text{×}3^8}{2^{15}\text{×}3^6}=\frac{3^8}{3^6}=3^2=9\)

Chúc em học tốt!