Question

Rút gọn:

a, A=\(\dfrac{2^6.9^2}{6^4.8}\)

b, B=\(\dfrac{2^{13}.3^7}{2^{15}.3^2.9^2}\)

Answer 1

a) \(A=\dfrac{2^6\cdot9^2}{6^4\cdot8}\)

\(=\dfrac{2^6\cdot\left(3^2\right)^2}{3^4\cdot2^4\cdot2^3}\)

\(=\dfrac{2^6\cdot3^4}{3^4\cdot2^7}\)

\(=\dfrac{1}{2}\)

b) \(B=\dfrac{2^{13}\cdot3^7}{2^{15}\cdot3^2\cdot9^2}\)

\(=\dfrac{2^{13}\cdot3^7}{2^{15}\cdot3^2\cdot\left(3^2\right)^2}\)

\(=\dfrac{2^{13}\cdot3^7}{2^{15}\cdot3^6}\)

\(=\dfrac{3}{2^2}\)

\(=\dfrac{3}{4}\)

Answer 2

  

Answer 3

\(A=\dfrac{2^6.9^2}{6^4.8}=\dfrac{2^6.3^4}{2^7.3^4}=\dfrac{1}{2}\)

\(B=\dfrac{2^{13}.3^7}{2^{15}.3^2.9^2}=\dfrac{3^7}{2^2.3^6}=\dfrac{3}{4}\)