\(\frac{2^3.3^3.5^3.7.8}{3.2^4.5^3.14}=\frac{2^3.3^3.5^3.7.2^3}{3.2^4.5^3.2.7}\)

\(=\frac{2^6.3^3.5^3.7}{2^5.3.5^3.7}=\frac{2.3^2.1.1}{1.1.1.1}=2.3^2\)

\(=2.9=18\)

\(\frac{2^3.3^3.5^3.7.8}{3.2^4.5^3.14}=\frac{1.3^2.1.1.8}{1.2.1.2}=\frac{3.3.4}{2.1}=\frac{3.3.2}{1}=18\)

\(...=\frac{2^6.3^3.5^3.7}{2.^53.5^3.7}=18\)

a) \(\dfrac{2^4\cdot5^2\cdot7}{2^3\cdot5\cdot7^2\cdot11}=\dfrac{2^3\cdot5\cdot10\cdot7}{2^3\cdot5\cdot7\cdot77}=\dfrac{10}{77}\)

\(\dfrac{2^3\cdot3^3\cdot5^3\cdot7\cdot8}{3\cdot2^4\cdot5^3\cdot14}=\dfrac{2^3\cdot3\cdot5^3\cdot7\cdot3^2\cdot8}{3\cdot2^3\cdot2\cdot5^3\cdot14}=\dfrac{7\cdot3^2\cdot8}{2\cdot14}=\dfrac{63\cdot8}{2\cdot14}=18=\dfrac{1386}{77}\)

rút gọn rồi quy đồng nha

Ta có:

\(\frac{\left(-2\right)^3.3^3.5^3.7.8}{3.5^3.2^4.42}=\frac{\left(-2\right).\left(-2\right).\left(-2\right).3.3.3.5.5.5.7.2.2.2}{3.5.5.5.2.2.2.2.2.3.7}\)

\(=\frac{\left(-2\right)}{1}=-2\)

bn ghi ro hơn ko 

sai de roi ban oi

làm gì có đề nào như vậy

^{kết quả là-6}

B/  2³3×3²×5³×7×8

3×2³×2 ×5³×7×2

=3²×8

2×2

=18

rút gọn được 5^3 và 7.8=42

còn (-2)^3.3^2/2^4=-3^2/2

\(\frac{\left(-2\right)^3.3^3.5^3.7.8}{3.5^3.2^4.42}=\)

\(-\frac{2^3.3^3.5^3.7.2^3}{3.5^3.2^4.2.3.7}=\)

\(-\frac{2^6.3^3.5^3.7}{2^5.3^2.5^3.7}=\)

\(-\left(2.3\right)=-6\)

\(\frac{\left(-2\right)^3.3^3.5^3.7.8}{3.5^3.2^4.42}\)

\(=\frac{\left(-2.3.5\right)^3.7.2^3}{3.5^3.2^4.6.7}\)

\(=\frac{\left(-30\right)^3.2^3}{3.5^3.2^4.6}\)

\(=\frac{\left(-60\right)^3}{3.125.16.6}\)

Làm nốt nhé