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\(=\frac{2^{12}\times3^{10}+2^9\times3^9\times2^3\times3\times5}{-2^{12}\times3^{12}-2^{11}\times3^{11}}\)
\(=\frac{2^{12}\times3^{10}+2^{12}\times3^{10}\times5}{-2^{11}\times3^{11}\times\left(2\times3+1\right)}\)
\(=\frac{2^{12}\times3^{10}\times\left(1+5\right)}{-2^{11}\times3^{11}\times7}\)
\(=\frac{2^{13}\times3^{11}}{-2^{11}\times3^{11}\times7}\)
\(=\frac{-4}{7}\)
Bài làm :
\(\frac{4^6\times9^5+120\times6^9}{8^4\times3^{12}-6^{11}}\)
\(=\frac{\left(2^2\right)^6\times\left(3^2\right)^5+2^3\times5\times3\times\left(2\times3\right)^9}{\left(2^3\right)^4\times3^{12}-\left(2\times3\right)^{11}}\)
\(=\frac{2^{12}\times3^{10}+2^3\times5\times3\times2^9\times3^9}{2^{12}\times3^{12}-2^{11}\times3^{11}}\)
\(=\frac{2^{12}\times3^{10}\times\left(1+5\right)}{2^{11}\times3^{11}\times\left(2\times3-1\right)}\)
\(=\frac{2\times6}{3\times5}\)
\(=\frac{4}{5}\)
Học tốt nhé
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
\(P=\dfrac{8^4.3^5-4^6.9^3}{4^6.9^3+4^8.3^5}\)
\(=\dfrac{\left(2^3\right)^4.3^5-\left(2^2\right)^6.\left(3^2\right)^3}{\left(2^2\right)^6.\left(3^2\right)^3+\left(2^2\right)^8.3^5}\)
\(=\dfrac{2^{12}.3^5-2^{12}.3^6}{2^{12}.3^6+2^{16}.3^5}\)
\(=\dfrac{2^{12}\left(3^5-3^6\right)}{2^{12}.2^4\left(3^3+3^5\right)}\)
\(=\dfrac{\left(-3\right)}{8.3^8}\)
\(=\dfrac{-1}{8.3^7}\)
\(P=\dfrac{8^4.3^5-4^6.9^3}{4^6.9^3+4^8.3^5}=\dfrac{2^{12}.3^5-2^{12}.3^6}{2^{12}.3^6+2^{16}.3^5}=\dfrac{2^{12}.3^5\left(1-3\right)}{2^{12}.3^5\left(3+2^4\right)}=\dfrac{-2}{19}\)Nguyễn Thanh Hằng xem lại kết quả đi
a. \(\frac{20^5.5^{10}}{100^5}\)
\(=\frac{20^5.\left(5^2\right)^5}{100^5}\)
\(=\frac{20^5.25^5}{100^5}\)
\(=\frac{500^5}{100^5}\)
\(=\left(\frac{500}{100}\right)^5\)
\(=5^5=3125\)
b. \(\frac{\left(0,9\right)^5}{\left(0,3\right)^6}\)
\(=\frac{\left(0,9\right)^5}{\left(0,3\right)^5.0,3}\)
\(=\left(\frac{0,9}{0,3}\right)^5.\frac{1}{0,3}\)
\(=3^5.\frac{1}{0,3}\)
\(=810\)
c. \(\frac{6^3+3.6^2+3^3}{-13}\)
\(=\frac{\left(3.2\right)^3+3.\left(3.2\right)^2+3^3}{-13}\)
\(=\frac{3^3\left(2^3+2^2+1\right)}{-13}\)
\(=\frac{3^3.13}{-13}\)
\(=\left(-3\right)^3\)
\(=-27\)
\(E=\frac{4^9.9^5+6^9.2^6}{2^{10}.3^8+6^8.20}=\frac{\left(2^2\right)^9.\left(3^2\right)^5+6^9.64}{2^{10}.3^8+6^8.20}=\frac{2^{18}.3^{10}+6^9.64}{2^{10}.3^8+6^8.20}=\frac{2^8.3^2+6.2^4}{1.1+1.5}=\frac{2304+96}{6}=\frac{2400}{6}=400\)