8^6.25^5/16^5.125^3
Rút gọn
8^6.25^5/16^5.125^3
Các bạn giải nhanh mik tick cho
1. Rút gọn :
a) \(\frac{8^6.25^5}{16^5.125^3}\) b) \(\frac{9^3.5-3^6.2}{9^4+3^8.5}\)
2. Phân số \(\frac{3n+2}{4n-5}\) có thể rút gọn cho số nào ?
3. CMR : \(\frac{3n-1}{2n-1}\) là phân số tối giản ( n \(\in\) Z )
Ai có thể giúp mìk zới !!! :">
5^12.25^5.125^3:625^2
512 .( 52)5.(53)3:(54)2
=512.510.59:58
=512+10+9-8
=523
Tính giá trị biểu thức sau (hợp lí nếu có thể)
a) \(\dfrac{\left(-3\right)^7.2^8}{6^7}\) b) \(\dfrac{5^3.3^5}{5^3.0,5+125.2,5}\)
c) \(\dfrac{5.7^4+7^3.25}{7^5.125-7^3.50}\)
-3^7.2^8/2^.3^7
=-3.2
=-6
5^3.3^5/5^3(0,5+2,5)
=5^3.3^5/5^3.3\
3^4
=81
5.7^4+7^3.25/7^5.125-7^3.50
=5.7^3(7+5
5.7^4+7^3.25/7^5.125-7^3.50
=5.7^4+7^3.5^2/7^5.5^3-7^3.11.5
=5.7^3(1.7+1.5)/7^3.5(7^2.25-11)
12/1250
Tính:
\(\dfrac{8^3.5^4}{4^5.125}\)
\(\dfrac{8^3.5^4}{4^5.125}=\dfrac{2^9.5^4}{2^{10}.5^3}=\dfrac{5}{2}\)
\(\dfrac{8^3\cdot5^4}{4^5\cdot125}=\dfrac{2^9}{2^{10}}\cdot5=\dfrac{5}{2}\)
\(\dfrac{8^3.5^4}{4^5.125}=\dfrac{\left(4^2\right)^3.5^4}{4^5.5^3}=\dfrac{4^5.5^4}{4^5.5^3}=5\)
Tính GTBT sau:
\(\frac{2^{12}.5^7+4^6.25^3}{8^5.25^3+\left(2^2.5\right)^6^{ }}\)
\(=\)\(\frac{2^{12}.5^7+2^{12}.5^6}{2^{15}.5^6+2^{12}.5^6}\)
\(=\)\(\frac{2^{12}.5^6.\left(1+5\right)}{2^{12}.5^6.\left(2^3+1\right)}\)
\(=\)\(\frac{6}{9}\)\(=\)\(\frac{2}{3}\)
chúc học tốt
1.Tinh:
a)\(\frac{2^{12}.5^7+4^6.25^3}{8^5.25^3+\left(2^2.5\right)^6}\)
\(\frac{2^{12}\cdot5^7+4^6\cdot25^3}{8^5\cdot25^3+\left(2^2\cdot5\right)^6}\)
\(=\frac{2^{12}.5^7+2^{12}\cdot5^6}{2^{15}\cdot5^6+2^{12}\cdot5^6}\)
\(=\frac{2^{12}\cdot5^6\cdot\left(1\cdot5+1\right)}{2^{12}\cdot5^6\cdot\left(2^3\cdot1+1\right)}\)
\(=\frac{6}{9}\)
\(=\frac{2}{3}\)
\(\frac{2^{12}.5^7+4^6.25^3}{8^5.25^3+\left(2^2.5\right)^6}=\frac{2^{12}.5^7+\left(2^2\right)^6.\left(5^2\right)^3}{\left(2^3\right)^5.\left(5^2\right)^3+\left(2^2\right)^6.5^6}=\frac{2^{12}.5^7+2^{12}.5^6}{2^{15}.5^6+2^{12}.5^6}\)
\(=\frac{2^{12}.5^6.\left(5+1\right)}{2^{12}.5^6.\left(2^3+1\right)}=\frac{6}{9}=\frac{2}{3}\)
tính
a |-5|.7^4+7^3.25/7^5.125-7^5.50
b (-0,25)^-5.9^4.(-2)^-3 - 2^-2.6^9/2^9.3^6 +6^6.40
\(\dfrac{5^6.25^3}{25}\)
\(\dfrac{5^6.25^3}{25}=\dfrac{5^6.5^6}{5^2}=5^{6+6-2}=5^{10}\)
\(\dfrac{5^6.25^3}{25}=\dfrac{5^6.\left(5^2\right)^3}{5^2}=\dfrac{5^6.5^6}{5^2}=\dfrac{5^{12}}{5^2}=5^{12-2}=5^{10}\)
\(\dfrac{5^6.25^3}{25}\)\(=5^6.25^2=9765625\)