2^3.3/2^2.3^2.5
Rút gọn:
2^3.3/2^2.3^2.5
muốn rút gọn phân số đó ta làm như sau:
\(\frac{2^3\cdot3}{2^2\cdot3^2\cdot5}\)=\(\frac{2}{3\cdot5}\)=\(\frac{2}{15}\)
rút gọn phân số ;\(\dfrac{2^3.3^4}{2^2.3^2.5}\)
\(\dfrac{2^3.3^4}{2^3.3^2.5}=\dfrac{1.3^2}{1.1.5}=\dfrac{9}{5}\)
Ta có :2^3.3^4/2^2.3^2.5=2.3^2/1.1.5=2.9/5=\(\dfrac{18}{5}\)
a) 2^3.3^4/2^2.3^2.5 ; 2^4.5^2.11^2.7/2^3.5^3.7^2.11
Ta có:
\(\frac{2^3.3^4}{2^2.3^2.5}=\frac{2.3^2}{5}=\frac{18}{5}\)
\(\frac{2^4.5^2.11^2.7}{2^3.5^3.7^2.11}=\frac{2.11}{5.7}=\frac{22}{35}\)
rút gọn: \(\frac{2^3.3^4}{2^2.3^2.5}\)
Ta có:
\(\frac{2^2.2.3^2.3^2}{2^2.3^2.5}\) =\(\frac{2.3^2}{5}\) =\(\frac{18}{5}\)
Vậy
Ta cã: \(\frac{2^3.3^4}{2^2.3^2.5}\)
\(=\frac{2^2.2.3^2.3^2}{2^2.3^2.5}\)
\(=\frac{2.3^2}{5}\)
\(=\frac{18}{5}\)
Cho a=2^3.3; b=2.3^2.5^2; c=2^2.3^4.5^2a=23.3;b=2.32.52;c=22.34.52. Khi đó ƯCLN(a, b, c) là ?
ta có
a=2^3.3
b=2.3^2.5^2
c=2^2.3^4.5^2a
=>(a,b,c)=2.3=6
vay UCLN(a,b,c)=6
rút gọn ps
\(\frac{2^3.3^4}{2^2.3^2.5}\)
\(\frac{2^3.3^4}{2^2.3^2.5}=\frac{2^2.3^2.2.3^2}{2^2.3^2.5}=\frac{2^2.3^2.18}{2^2.3^2.5}=\frac{18}{5}\)
\(\frac{2^3.3}{2^2.3^2.5}\) rút gọn
\(\frac{2^3.3}{2^2.3^2.5}=\frac{2^2.2^1.3}{2^2.3.3.5}=\frac{2}{3.5}=\frac{2}{15}\)
\(\frac{2^3.3}{2^2.3^2.5}=\frac{24}{180}=\frac{2}{15}\)
\(\xrightarrow[2^2.3^2.5]{2^3.3^4}\)
Tính giá trị biểu thức
\(\frac{2^3.3^4}{2^2.3^2.5}=\frac{2^2.3^2.2.3^2}{2^2.3^2.5}=\frac{2.3^2}{5}=\frac{18}{5}\)
\(\frac{2^3.3^4}{2^2.3^2.5}=\frac{2.3^2}{1.1.5}=\frac{2.9}{5}=\frac{18}{5}\)
\(\frac{\sqrt{2^3.3^4.5^5.6^6.7^7}}{2^2.3^2.5^6.6^3.7^3}\)
\(\frac{\sqrt{2^3\cdot3^4\cdot5^5\cdot6^6\cdot7^7}}{2^2\cdot3^2\cdot5^6\cdot6^3\cdot7^3}=\frac{2\cdot3^2\cdot5^2\cdot6^3\cdot7^3\cdot\sqrt{2\cdot5\cdot7}}{2^2\cdot3^2\cdot5^6\cdot6^3\cdot7^3}=\frac{\sqrt{2\cdot5\cdot7}}{2\cdot5^4}=\frac{\sqrt{70}}{1250}\)