1
a) \(\frac{2^2.9^2}{6^4.8}\)\(=\frac{2^2+\left(3^2\right)^2}{\left(2.3\right)^4.2^3}\)\(=\frac{3^4}{2^4.3^4.2}=\frac{1}{2^4.2}=\frac{1}{2^5}=\frac{1}{32}\)
b)\(\frac{3^{10}.2^1}{16.4^3.243}=\frac{3^{10}.2^1}{2^4.4^3.3^5}=\frac{3^5}{2^3.4^3}=\frac{3^5}{\left(2.4\right)^3}\)\(=\frac{3^5}{8^3}=\frac{243}{512}\)
Rút gọn biểu thức
a)28^15 . 3^17
_____________
84^16
b) 3^10 + 6^2
________________
5.3^8 + 20
Rut gon bieu thuc ( 2x like )
a)28^15 . 3^17
_____________
84^16
b) 3^10 + 6^2
________________
5.3^8 + 20
Bài 1: Rút gọn biểu thức sau:
\(\frac{28^{15}.3^{17}}{84^{16}}\)
Bài 2: Trong 2 biểu thức \(\frac{3^6.21^{12}}{175^9.7^3}\)và \(\frac{3^{10}6^7.4}{10^9.5^8}\), bieeur thức nào có giá trị lớn hơn?
Rut gon bieu thuc ( 2x like )
a)28^15 . 3^17
_____________
84^16
b) 3^10 + 6^2
________________
5.3^8 + 20
Rut gon bieu thuc ( 2x like )
a)28^15 . 3^17
_____________
84^16
b) 3^10 + 6^2
________________
5.3^8 + 20
tính nhanh
\(\frac{2^{15}.9^4}{6^6.8^3}\) \(-\frac{45^{10}.5^{20}}{75^{15}}\) \(\frac{8^{20}+4^{20}}{4^{25}+6^{35}}\) \(\frac{3^{10}.2^{10}}{16.4.243}\)
tính
\(A=\frac{1}{17}+\frac{1}{17.27}+\frac{1}{27.37}+....+\frac{1}{2007.2017}\)
\(A=\left(\frac{1}{2^2}-1\right).\left(\frac{1}{3^2}-1\right).\left(\frac{1}{4^2}-1\right)......\left(\frac{1}{2015^2}-1\right)\)
\(A=3+3^2+3^3+....+3^{2015}\)
\(A=1+3^2+3^4+.......+3^{2016}\)
\(2016^{\left(169-1^2\right).\left(169-2^2\right).\left(169-13^2\right)}\)\(2015^{2.3.4....2016}\)
\(\frac{4^6.9^5+6^9.120}{8^4.3^{12}-6^{11}}\)
giải hộ mình với, mai phải nộp r :<
bài 1 Tính
\(a=\frac{-8}{1125}.\frac{1}{10^3}.\frac{2^{-6}}{3^{-2}}\)
\(B=\frac{2\left(\frac{1}{2}\right)^{10}.5-\left(\frac{1}{4}\right)^5.3}{\frac{1}{1024}.\frac{1}{3}-\left(\frac{1}{2}\right)^{11}}\)
Tính:
\(a.\frac{8^5.\left(-5\right)^8+\left(-2\right)^5.10^9}{2^{16}.5^7+20^8}\)
\(b.\frac{\left(-0,25\right)^{-5}.9^4.\left(-2\right)^{-3}-2^{-2}.6^9}{2^9.3^6+6^6.40}\)
\(c.\frac{2^{12}.3^5-4^6.9^2}{\left(2^2.3\right)^6+8^4.3^5}-\frac{5^{10}.7^3-25^5.49^2}{\left(125.7\right)^3+5^9.14^3}\)
1, a) \(\left(\frac{1}{4}\right)^{20}.\left(\frac{1}{2}\right)^5\) b) \(\left(\frac{1}{9}\right)^{25}:\left(\frac{1}{3}\right)^{20}\) c) \(\left(\frac{1}{16}\right)^2:\left(\frac{1}{8}\right)^3\)
2, A=\(\frac{10^2-8^2}{6^2}\) b) B=\(\frac{25^4+10^4}{25^2+16}\) c) C=\(\frac{9^2.15^3}{3^7.5^2}\) d) D=\(\frac{6^{10}-3^{10}}{2^{10}-1}\)
