Rút gọn biểu thức :
P= \(\frac{8^4\times3^5-4^6\times9^3}{4^6\times9^3+4^8\times3^5}\)
Đề : Rút gọn biểu thức :
\(\frac{8^4\times3^5-4^6\times9^3}{4^6\times9^3+4^8\times3^5}\)
Giúp mik đi . Ai giúp rùi mà mún ảnh anime hay quotes gì đó thì mik sẽ hậu tạ .
\(\frac{8^4.3^5-4^6.9^3}{4^6.9^3+4^8.3^5}=\frac{8^4}{4^8}=\frac{4096}{65536}=\frac{1}{16}\)
k nha
\(\frac{8^4.3^5-4^6.9^3}{4^6.9^3+4^8.3^5}=\frac{2^{12}.3^5-2^{12}.3^6}{2^{12}.3^6+2^{16}.3^5}=\frac{2^{12}.3^5\left(1-3\right)}{2^{12}.3^5\left(3-2\right)}=\frac{-2}{1}\) = -2
Xin một câu quote nha! ^^
Rút gọn
\(\frac{4^5\times9^4-2\times6^9}{2^{10}\times3^8+6^8\times20}\)
M=\(\frac{9^4\times27^5\times3^6\times3^4}{3^8\times81^4\times243\times8^2}\)
N=4\(\frac{4^6\times9^5\times6^9\times120}{8^4\times3^{12}-6^{11}}\)
Tính nhanh:\(\frac{1\times2\times3+2\times4\times6+3\times6\times9+4\times8\times12+5\times10\times15}{1\times3\times5+2\times6\times10+3\times9\times15+4\times12\times20+5\times15\times25}-\frac{1+2+3+2+4+6+3+6+9+4+8+12+5+10+15}{1+3+5+2+6+10+3+9+15+4+12+20+5+15+25}\)
Tính:
\(\frac{2^{12}\times3^5-4^6\times9^2}{12^6+8^4\times3^5}-\frac{5^{10}\times7^3-25^5\times49^2}{\left(125\times7\right)^3+5^9\times14^3}\)
Số cây cam là:
120 : ( 2 + 3 ) x 2 = 48 (cây)
Số cây xoài là:
( 1 + 5 ) = 20 ( cây )
Số cây chanh là:
120 - ( 48 + 20 ) = 52 ( cây )
Đáp số : cam : 48 cây
xoài : 20 cây
chanh : 52 cây.
ai trên 10 điểm thì mình nha
Các bạn ơi ,giúp mình với
Bài 1:Rút gọn
a)\(\frac{2^{19}\times27^3+15\times4^9\times9^4}{6^9\times2^{10}+12^{10}}\)
b)\(\frac{\left(\frac{-1}{2}\right)^3-\left(\frac{3}{4}\right)^3\times\left(-2\right)^2}{2\times\left(-1\right)^5+\left(\frac{3}{4}\right)^2-\frac{3}{8}}\)
c)\(\frac{45\times9^4-2\times6^4}{2^{19}\times3^8+6^8\times20}\)
Bài 2:Tìm x
a)\(5^x+5^{x+2}=650\)
b)\(3^{x-1}+5\times3=162\)
thực hiện phép tính:\(A=\frac{2^{12}\times4^6\times9^2}{2^{12}\times3^6+8^4\times3^5}-\frac{5^{10}\times7^3-25^2\times49^2}{125^3\times7^3+5^9\times14^3}\)
tính :\(\frac{1}{1\times2\times3}+\frac{1}{2\times3\times4}+\frac{1}{3\times4\times5}+\frac{1}{4\times5\times6}+\frac{1}{5\times6\times7}+\frac{1}{6\times7\times8}+\frac{1}{7\times8\times9}+\frac{1}{8\times9\times10}\)
\(\frac{1}{1.2.3}+\frac{1}{2.3.4}+...+\frac{1}{8.9.10}=\frac{1}{2}.\left(\frac{1}{1.2}-\frac{1}{2.3}\right)+\frac{1}{2}.\left(\frac{1}{2.3}-\frac{1}{3.4}\right)+...+\frac{1}{2}.\left(\frac{1}{8.9}-\frac{1}{9.10}\right)\)
\(=\frac{1}{2}.\left(\frac{1}{1.2}-\frac{1}{2.3}+\frac{1}{2.3}-\frac{1}{3.4}+...+\frac{1}{8.9}-\frac{1}{9.10}\right)\)
\(\frac{1}{2}.\left(\frac{1}{1.2}-\frac{1}{9.10}\right)=\frac{1}{2}.\frac{22}{45}=\frac{11}{45}\)
\(\frac{4^5\times9^4-2\times6^9}{2^{10}\times3^8+6^8\times20}\)
\(\frac{4^5.9^4-2.6^9}{2^{10}.3^8+6^8.20}\)
\(=\frac{\left(2^2\right)^5.\left(3^2\right)^4-2.\left(2.3\right)^9}{2^{10}.3^8+\left(2.3\right)^8.2^2.5}\)
\(=\frac{2^{10}.3^8-2^{10}.3^9}{2^{10}.3^8+2^8.3^8.2^2.5}\)
\(=\frac{2^{10}.3^8.\left(1-3\right)}{2^{10}.3^8.\left(1+5\right)}\)
\(=\frac{-1}{3}\)
Ta có:
\(\frac{4^5\cdot9^4-2\cdot6^9}{2^{10}\cdot3^8+6^8\cdot20}\)
\(=\frac{2^{10}\cdot3^8-2^{10}\cdot3^9}{2^{10}\cdot3^8+2^{10}\cdot3^8\cdot5}\)
\(=\frac{2^{10}\cdot3^8\cdot\left(1-3\right)}{2^{10}\cdot3^8\cdot\left(1+5\right)}\)
\(=-\frac{2}{6}=-\frac{1}{3}\)
\(\frac{4^5\times9^4-2\times6^9}{2^{10}\times3^8+6^8\times20}\)
\(=\frac{2^{10}\times3^8-2^{10}.3^9}{2^{10}\times3^8+2^{10}\times3^8\times5}\)
\(=\frac{2^{10}\times3^8\left(1-3\right)}{2^{10}\times3^8\left(1+5\right)}\)
\(=\frac{-1}{3}\)