Question

Bài 1: rút gọn các phân số

\(\frac{5^3.90.4^3}{25^2.3^2.2^{13}}\)

\(\frac{18.27+18.\left(-23\right)}{34.4-4.52}\)

\(\frac{15^2.16^4-15^3.16^3}{12^2.20^3-20^2.12^3}\)

\(\frac{2..3+4.6+14.21}{3.5+6.10+21.35}\)

Giúp mik nha

Answer 1

\(\frac{5^3.2.3^2.5.2^6}{5^{10}.3^2.2^{13}}=\frac{5^4.2^7.3^2}{5^{10}.3^2.2^{13}}=\frac{1}{5^6.2^6}=\frac{1}{10^6}\)

Answer 2

\(\frac{18\left(27-23\right)}{4\left(34-52\right)}=\frac{18.4}{4.\left(-18\right)}=-1\)

Answer 3

\(\frac{15^2.16^3\left(16-15\right)}{12^2.20^2\left(20-12\right)}=\frac{3^2.5^2.2^{12}}{2^4.3^2.2^3.2^4.5^2}=\frac{3^2.5^2.2^{12}}{2^{11}.3^2.5^2}=2\)

Answer 4

\(\frac{2.3+4.6+14.21}{3.5+6.10+21.35}=\frac{2.3+4.2.3+14.2.3}{3.5+4.3.5+14.3.5}=\frac{2.3\left(1+4+14\right)}{3.5\left(1+4+14\right)}=\frac{2}{5}\)