a) 2,25 : \(\frac{-6}{25}=\frac{9}{4}\cdot\frac{-25}{6}=\frac{9\cdot\left(-25\right)}{4\cdot6}=\frac{3\cdot3\cdot\left(-25\right)}{4\cdot3\cdot2}=\frac{-75}{8}\)
b) \(\frac{2^3\cdot5^2\cdot7^2\cdot3^7}{49\cdot5^3\cdot3^6\cdot11}=\frac{2^3\cdot5^2\cdot7^2\cdot3^6\cdot3}{7^2\cdot5^2\cdot5\cdot3^6\cdot11}=\frac{2^3\cdot3}{5\cdot11}=\frac{24}{55}\)
Tính :
\(\frac{2^3.5^2.7^23^7}{49.5^3.3^6.11}\)
Tính bằng cách hợp lí nhất :
\(\frac{2^3.5^2.7^23^7}{49.5^3.3^6.11}\)
rút gọn
a)
\(\frac{2^3.3^4}{2^2.3^2.5}\)
b)
\(\frac{2^4.5^2.11^2.7}{2^3.5^3.7^2.11}\)
Rút gọn phân số:
a)\(\frac{2.\left(-13\right).9.10}{\left(-3\right).4.\left(-5\right).26}\)
b)\(\frac{2^3.3^4}{2^2.3^2.5};\frac{2^4.5^2.11^2.7}{2^3.5^3.7^2.11}\)
c)\(\frac{121.75.130.169}{39.60.11.198}\)
d)\(\frac{1998.1990+3978}{1992.1991-3984}\)
Áp dụng tính chất lũy thừa của 1 tích để rút gọn các phân số sau
a)\(\frac{2^2.3^3.5^7}{2^3.3^4.5^6}\)
b)\(\frac{6^5.35^7}{14^7.15^5}\)
c)\(\frac{10^5.21^4.7}{6^4.35^2.4}\)
GIẢI CHI TIẾT ĐẦY ĐỦ DỄ HIỂU NHA
Rut gon phan so
a) \(\frac{3024-12}{5292-21}\)
b) \(\frac{2^3.3}{2^2.3^2.5}\)
c) \(\frac{2^4.5^2.7}{2^3.5.7^2.11}\)
Tính:
\(A=\frac{1}{2.12}+\frac{2}{3.5}+\frac{3}{5.8}+\frac{1}{2.3}+\frac{5}{12.17}+\frac{6}{17.23}+\frac{7}{23.30}\)
2^2.4^4.2^6.2.2=
2.2^3.2^7.2^4=
3^2.3=
3^4.3^3.3=
3.3^5.3^4.3^2=
3.3^6.3^7.3^4=
4.4^3=
4^5.4.4^7=
4.4^3.4^5.4^6=
5.5^6
5.5^4=
5.5^2.5^4=
5.5^3.5^4.5^6=
5.5^6.5^4.5^3=
x.x^2
x.x^3.x^5=
a.a^4
a.a^2.a^4.a^5.a^7=
a.a^3.a^5.a^6
a^4.a.a^5.a^6.a=
x.x^3.x^4=
x^5.x^4.x.x^7.x^6=
7.7^2=
7.7^2.7^4.7^5=
7^3.7^5.7.7^4=
7^2.7.7^6.7^6.7^3=
10.10^2=
10.10^2=
10.100.10^3=
10.100.10^4.1000=
10^2.10^4.100.1000=
Bài 2
\(A=\frac{1}{2}+\frac{1}{2^2}+\frac{1}{2^3}+...+\frac{1}{2^n}\)
\(B=\frac{1}{1.2}+\frac{1}{2.3}+...+\frac{1}{9.10}\)
\(C=\frac{1}{1.2}+\frac{1}{2.3}+...\frac{1}{99.100}\)
\(D=\frac{1}{1.6}+\frac{1}{6.11}+...+\frac{1}{496.501}\)
