Rút gọn các biểu thức sau
36454-153:59 / 274.25+456
(2/7)^7.5^7+(9/4)^3:(3/10)^3 / 2^7.5^2+152
1 Rút gọn
F=\(\frac{\left(\frac{2}{5}\right)^7.5^7+\left(\frac{9}{4}\right)^3:\left(\frac{3}{16}\right)^3}{2^7.5^7+512}\)
\(F=\frac{\left(\frac{2}{5}\right)^7.5^7+\left(\frac{9}{4}\right)^9\div\left(\frac{3}{16}\right)^3}{2^7.5^2+512}\)
\(F=\frac{\left(\frac{2.5}{5}\right)^7+\left(\frac{9.16}{4.3}\right)^3}{2^7.5^2+2^9}=\frac{2^7+12^3}{2^7.5^2+2^9}=\frac{2^7+2^6.3^3}{2^7.5^2+2^9}=\frac{2^6.\left(2+3^3\right)}{2^7.\left(5^2+2^2\right)}=\frac{2^6.29}{2^7.29}\)
\(F=\frac{1}{2}\)
Rút gọn
C = \(\frac{\left(\frac{2}{5}\right)^7.5^7+\left(\frac{9}{4}\right)^3:\left(\frac{3}{16}\right)^3}{2^7.5^2+512}\)
\(C=\frac{\left(\frac{2}{5}\right)^7\times5^7+\left(\frac{9}{4}\right)^3\div\left(\frac{3}{16}\right)^3}{2^7\times5^2+512}\)
\(=\frac{\left(\frac{2}{5}\times5\right)^7+\left(\frac{9}{4}\div\frac{3}{16}\right)^3}{2^7\times5^2+2^9}\)
\(=\frac{2^7+12^3}{2^7\times\left(25+2^2\right)}\)
\(=\frac{2^7+\left(2^2\times3\right)^3}{2^7\times\left(25+4\right)}\)
\(=\frac{2^7+2^6\times3^3}{2^7\times29}\)
\(=\frac{2^6\times\left(2+27\right)}{2^7\times29}\)
\(=\frac{29}{2\times29}\)
\(=\frac{1}{2}\)
Rút gọn
C = \(\frac{\left(\frac{2}{5}\right)^7.5^7+\left(\frac{9}{4}\right)^3:\left(\frac{3}{16}\right)^3}{2^7.5^2+512}\)
D = \(\frac{2^{12}.3^5-4^6.9^2}{\left(2^2.3\right)^6+8^4.3^5}\)
E = \(\frac{5^{10}.7^3-25^5.49^2}{\left(125.7\right)^3+5^9.14^3}\)
c: \(C=\dfrac{\left(\dfrac{2}{5}\cdot5\right)^7+\dfrac{9^3}{4^3}:\dfrac{3^3}{16^3}}{2^7\cdot5^2+2^9}=\dfrac{1+1728}{3712}=\dfrac{1729}{3712}\)
\(D=\dfrac{2^{12}\cdot3^5-2^{12}\cdot3^4}{2^{12}\cdot3^6+2^{12}\cdot3^5}=\dfrac{3^5-3^4}{3^6+3^5}=\dfrac{3^4\left(3-1\right)}{3^5\left(3+1\right)}=\dfrac{2}{3\cdot4}=\dfrac{2}{12}=\dfrac{1}{6}\)
\(E=\dfrac{5^{10}\cdot7^3-5^{10}\cdot7^4}{5^9\cdot7^3+5^9\cdot7^3\cdot2^3}=\dfrac{5^{10}\cdot7^3\cdot\left(-6\right)}{5^9\cdot7^3\cdot9}=5\cdot\dfrac{-2}{3}=\dfrac{-10}{3}\)
a) \(P=\frac{3}{7.5}+\frac{3}{7.5^2}+....+\frac{3}{7.5^{2006}}\)
b) rút gọn biểu thức \(B=\left(xy^2\right)^2.2xyz.\left(-\frac{1}{2}xyz\right)^3\)
c) xác định hàm số y=IaI.x bt đồ thị hàm số đi qua điểm A(3;-2)
đặc biệt là c nha các bn
Bài 1: Tìm x biết: a, |2x+5|-|x+3|=0
Bài 2: Rút gọn:
a,\(\frac{3^6+45^4-15^3.4^5}{27^4.25^3+45^6}\)
b,\(\frac{\left(\frac{2}{5}\right)^7.5^7+\left(\frac{16}{3}\right)^3:\left(\frac{4}{9}\right)^3}{2^7.5^2+512}\)
2a) \(\frac{3^6+45^4-15^3.4^5}{27^4.25^3+45^6}\)
= \(\frac{3^6+\left(3^2.5\right)^4-\left(3.5\right)^3.\left(2^2\right)^5}{\left(3^3\right)^4.\left(5^2\right)^3+\left(3^2.5\right)^6}\)
= \(\frac{3^6+3^8.5^4-3^3.5^3.4^{10}}{3^{12}.5^6-3^{12}.5^6}=\frac{3^3.\left(3^3+3^5.5^4-5^3.4^{10}\right)}{0}\)(xem lại đề)
b) \(\frac{\left(\frac{2}{5}\right)^7.5^7+\left(\frac{16}{3}\right)^3:\left(\frac{4}{9}\right)^3}{2^7.5^2+512}\)
= \(\frac{\left(\frac{2}{5}.5\right)^7+\left(\frac{16}{3}:\frac{4}{9}\right)^3}{2^7.5^2+2^9}\)
= \(\frac{2^7+12^3}{2^7\left(5^2+2^2\right)}\)
= \(\frac{2^7+\left(2^2.3\right)^3}{2^7.29}\)
= \(\frac{2^7+2^6.3^3}{2^7.29}\)
= \(\frac{2^6\left(1+27\right)}{2^7.29}=\frac{28}{2.29}=\frac{14}{29}\)
mk xin lỗi bn nhé...mk vt nhầm đề...mk vt lại nha:
2a,\(\frac{3^6+45^4-15^3.9^5}{27^4.25^3+45^6}\)
rút gọn PS:
A=7.53.42:57.25
\(A=\frac{7.5^3.4^2}{5^7.25}=\frac{7.5^3.2^4}{5^7.5^2}=\frac{7.5^3.2^4}{5^9}=\frac{7.16}{5^6}=\frac{112}{15625}\)
tính (2/5)^7.5^7+(9/4)^3:(3/6)^13/2^7.5^2+5^12
Tính (2/5)^7.5^7+(9/4)^3:(3/16)^3 phần 2^7.5^2+512
Rút gọn biểu thức:
a) \(\frac{3^7.5^4}{25^2}\)
b) \(\frac{2^4.2^6.3^8.9^2}{4^4.3^{11}}\)
c) \(\frac{3.9^4-9^3}{3^3.9}\)
Bạn nào biết chỉ mk với. Mk sẽ đãi hậu hĩnh luôn.
\(a,\frac{3^7.5^4}{25^2}=\frac{3^7.5^4}{\left(5^2\right)^2}=\frac{3^7.5^4}{5^4}=3^7\)
Ủa, bạn " Thám tử lừng danh conan " ơi? Sao chỉ có mỗi câu a thế???