Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
\(\frac{2^{1005}.7^{1005}.5^{1006}}{2^{1007}.5^{1004}.7^{1004}}\)
\(=\frac{7.5^2}{2^2}\)
\(=\frac{175}{4}\)
Chúc bạn học tốt^^
\(\frac{2^{1005}.7^{1005}.5^{1006}}{2^{1007}.5^{1004}.7^{1004}}\)
\(=\frac{7.5^2}{2^2}\)
\(=\frac{175}{4}\)
Chúc bạn học tốt^^
\(\frac{\left(-5\right)^2.\left(-5\right)^3.16}{5^4.\left(-2\right)^4}=\frac{\left(-5\right)^5.16}{5^4.16}=\frac{\left(-5\right)^5}{5^4}=-5\)
\(\frac{14^{1005}.5^{1006}}{2^{1007}.35^{1004}}=\frac{14^{1005}.5^{1005}.5}{2^{1004}.2^3.35^{1004}}=\frac{\left(14.5\right)^{1005}.5}{\left(2.35\right)^{1004}.2^3}=\frac{70^{1005}.5}{70^{1004}.2^3}=\frac{70.5}{8}=\frac{350}{8}=\frac{175}{4}\)
Chúc bạn học tốt!
Toán lớp 6 ?
\(\frac{\left(-5\right)^2\left(-5\right)^3.16}{5^4.\left(-2\right)^4}=\frac{\left(-5\right)^5.2^4}{5^4.2^4}=-5\)
\(\frac{14^{1005}.5^{1006}}{2^{1007}.35^{1004}}=\frac{14^{1005}.5^{1005}.5}{2^{1004}.35^{1004}.2^3}=\frac{\left(14.5\right)^{1005}.5}{\left(2.35\right)^{1004}.8}=\frac{70^{1005}.5}{70^{1004}.8}=\frac{70.5}{8}=\frac{175}{4}\)
\(\frac{14^{16}\times21^{32}\times35^{48}}{10^{16}\times35^{32}\times7^{96}}\)
\(=\frac{\left(2\times7\right)^{16}\times\left(3\times7\right)^{32}\times\left(5\times7\right)^{48}}{\left(2\times5\right)^{16}\times\left(5\times7\right)^{32}\times7^{96}}\)
\(=\frac{2^{16}\times7^{16}\times3^{32}\times7^{32}\times5^{48}\times7^{48}}{2^{16}\times5^{16}\times5^{32}\times7^{32}\times7^{96}}=\frac{2^{16}+7^{96}+3^{32}+5^{48}}{2^{16}\times5^{48}\times7^{32}\times7^{96}}\)
\(=\frac{3^{32}}{7^{32}}=\left(\frac{3}{7}\right)^{32}\)
Bài 1 :
a) \(\dfrac{14^{1005}.5^{1006}}{2^{1007}.35^{1004}}=\dfrac{7^{1005}.2^{1005}.5^{1006}}{2^{1007}.5^{1004}.7^{1004}}=\dfrac{7.5^2}{2^2}=\dfrac{7.25}{4}=\dfrac{175}{4}\)
Bài 2 :
Ta có : \(\dfrac{\widehat{A}}{4}=\dfrac{\widehat{B}}{5}=\dfrac{\widehat{C}}{9}\) ( \(\widehat{A}+\widehat{B}+\widehat{C}\) = 180o )
Áp dụng tính chất dãy tỉ số bằng nhau ta có :
\(\dfrac{\widehat{A}}{4}=\dfrac{\widehat{B}}{5}=\dfrac{\widehat{C}}{9}=\dfrac{\widehat{A}+\widehat{B}+\widehat{C}}{4+5+9}=\dfrac{180^o}{18}=10^o\)
\(\dfrac{\widehat{A}}{4}=10^o\Rightarrow\widehat{A}=10^o.4=40^o\)
\(\dfrac{\widehat{B}}{5}=10^o\Rightarrow\widehat{B}=10^o.5=50^o\)
\(\dfrac{\widehat{C}}{9}=10^o\Rightarrow\widehat{C}=10^o.9=90^o\)
Vậy ...
a) \(\frac{75^3.3^7}{81^4.5^6}=\frac{5^3.3^3.5^3.3^7}{\left(3^4\right)^4.5^6}=\frac{5^6.3^3.3^7}{3^{16}.5^6}=\frac{3^{10}}{3^{16}}=\frac{1}{3^6}=\frac{1}{729}\)
b) \(\frac{6^6.4^2}{3^{12}.2^8}=\frac{2^6.3^6.\left(2^2\right)^2}{3^{12}.2^8}=\frac{2^6.3^6.2^4}{3^{12}.2^8}=\frac{2^{10}.3^6}{3^{12}.2^8}=\frac{2^2.1}{3^6}=\frac{4}{729}\)
c) \(\frac{34^5.2^5}{2^{14}.17^5}=\frac{2^5.17^5.2^5}{2^{14}.17^5}=\frac{2^{10}}{2^{14}}=\frac{1}{2^4}=\frac{1}{16}\)
a) \(\frac{7^3.5^8}{49.25^4}=\frac{7^3.5^8}{7^2.\left(5^2\right)^4}=7.\frac{5^8}{5^8}=7\)
b) \(\frac{3^9.25.5^3}{15.625.3^8}=\frac{3.3^8.5^2.5^3}{3.5.5^4.3^8}=\frac{5^5}{5^5}=1\)
c) Đề hơi sai roi bạn oi
d) \(\left(\frac{2}{5}-\frac{1}{2}\right)^2+\left(\frac{1}{2}+\frac{3}{5}\right)^2=\left(\frac{-1}{10}\right)^2+\left(\frac{11}{10}\right)^2=\frac{1}{100}+\frac{121}{100}=\frac{61}{50}\)
\(Tacó\frac{8^{19}\times14^{11}}{49^6\times2^{68}}\)
\(=\frac{\left(2^3\right)^{19}\times2^{11}\times7^{11}}{\left(7^2\right)^6\times2^{68}}\)
\(=\frac{2^{57}\times2^{11}\times7^{11}}{7^{12}\times2^{68}}\)
\(=\frac{2^{68}\times7^{11}}{7^{12}\times2^{68}}\)
\(=\frac{1\times1}{7\times1}\)
\(=\frac{1}{7}\)
\(\frac{14^{1005}.5^{1006}}{2^{1007}.35^{1004}}\)
\(=\frac{2^{1005}.7^{1005}.5^{1006}}{2^{1007}.5^{1004}.7^{1004}}\)
\(=\frac{5^2.7}{2^2}=\frac{25.7}{4}=\frac{175}{4}\)
TRẦN TIỂU HY ƠI, BẠN TRÌNH BÀY RA GIÙM MK NHA. MK KO HIỂU LẮM