\(A=\left(\frac{89.3^{10}}{12^8.4^7}\right):\left(\frac{1}{2+2^3.3^2}\right)\)Tính \(x=2^3.A\)
a,\(\frac{3^9-2^3.3^7+2^{10}.3^2-2^{13}}{3^{10}-2^2.3^7+2^{10}.3^3}\)
b,\(\left(-2\frac{1}{3}\right)^{100}.\left(-0,5\right)^{99}:\left(\frac{7}{3}\right)^{98}:\left(\frac{1}{4}\right)^{50}\)
mk doan la` de sai, sua: \(\frac{3^9-2^3.3^7+2^{10}.3^2-2^{13}}{3^{10}-2^2.3^7+2^{10}.3^3-2^{12}}\)
\(=\frac{3^7.\left(3^2-2^3\right)+2^{10}.\left(3^2-2^3\right)}{3^7.\left(3^3-2^2\right)+2^{10}.\left(3^3-2^2\right)}=\frac{3^7+2^{10}}{\left(3^7+2^{10}\right).24}=\frac{1}{24}\)
tính
a, \(\frac{16^3.3^{10}+120.6^9}{4^6.3^{12}+6^{11}}\)
b , \(\left(\frac{0,4-\frac{8}{9}+\frac{2}{11}}{1,4-\frac{7}{9}+\frac{7}{11}}-\frac{\frac{1}{3}-0,25+\frac{1}{5}}{1\frac{1}{6}-0,875+0,7}\right):\frac{2012}{2013}\)
c, A
= \(1+\frac{1}{2}.\left(1+2\right)+\frac{1}{3}.\left(1+2+3\right)+\frac{1}{4}.\left(1+2+3+...+\frac{1}{20}.\left(1+2+3+....+20\right)\right).155\)
\(a,\frac{16^3.3^{10}+120.6^9}{4^6.3^{12}+6^{11}}\)
\(=\frac{\left(2^4\right)^3.3^{10}+2^3.3.5.\left(2.3\right)^9}{\left(2^2\right)^6.3^{12}+\left(2.3\right)^{11}}\)
\(=\frac{2^{12}.3^{10}+2^3.3.5.2^9.3^9}{2^{12}.3^{12}+2^{11}.3^{11}}\)
\(=\frac{2^{12}.3^{10}+2^{12}.3^{10}.5}{2^{11}.3^{11}\left(2.3+1\right)}\)
\(=\frac{2^{12}.3^{10}\left(1+5\right)}{2^{11}.3^{11}.7}=\frac{2.6}{3.7}=\frac{4}{7}\)
Tìm x thuộc N biết :
a) \(\left(\frac{3}{2}\right)^x=\frac{11.\left(-3\right)^{22}.3^7+9^3.3^{14}}{\left(4.3^{14}\right)^2}\)
b)\(\frac{1}{3}+\frac{1}{6}+\frac{1}{10}+...+\frac{2}{x\left(x+1\right)}=\frac{7}{9}\)
Thu gọn các đơn thức sau rồi cho biết hệ số, phần biến, bậc của mỗi đơn thức:
a) \(\frac{1}{2}x\frac{1}{4}x^2^{ }\frac{x^3}{8}2y4y^28y^3\)
b)\(\left(2\frac{1}{3}x^2y^3\right)^{10}\left(\frac{3}{7}x^5y^4\right)^{10}\)
c)\(\left(-\frac{2}{3}a^2b\right)^3ba^2\left[-\frac{9}{4}\left(ab^2\right)^3\right]\left(\frac{a^3b}{2}\right)^2\)
d)\(\left(-\frac{1}{2}a\frac{4}{3}a^26a\right)^3.3^3\left(-b^2\right)\frac{1}{6}b8^3\)
e)\(\left(-\frac{a}{2}\right)^33xy\left(4a^2x^3\right)\left(4\frac{1}{3}ay^2\right)\) (a là hằng số khác 0)
Bài 1 hãy tính
1 . A = \(\frac{9^5.5^7}{45^7}\)
2 .B = \(\left(\frac{2^2.2^3}{4^2.16}\right)^{15}\)\(:\left(\frac{2^6}{16^2}\right)^{10}\)
3 . A= \(\frac{-5.7^5+7^4}{7^6.10-2.7^5}\)
4 . B = \(\frac{10^3+5.10^2.5^3}{-13}\)
5 . A = \(\frac{\left(-0,03\right)^7.2^8}{\left(0,6\right)^7}\)
6 . B= \(\frac{3^7.16^3}{12^5.27^2}\)
7 . A = \(\frac{2^3.\left(0,5\right)^3.3^7}{2.\left(,5\right)^4.3^8}\)
8 . B = \(\left(\frac{-1}{3}\right)^3\)\(.\left(\frac{-1}{3}\right)^2\)\(.\left(\frac{-1}{3}\right)\)
Giúp mik nhé . mik cần ngay
Tìm x biết :
a)\(\frac{3}{2}x-\frac{1}{2}=\frac{2}{5}\) b)\(\frac{4}{5}-\left|x-\frac{2}{3}\right|=\frac{2}{3}\)
c)\(x=\left(2-\frac{15}{7}\right)^2+\left|\frac{-6}{7}\right|+\frac{\sqrt{36}}{49}\)
d)\(x=\frac{16^3.3^{10}+120.6^9}{4^6.3^{12}+6^{11}}\)
Các bn lm nhah giúp mik
thanks
Tính giá trị biểu thức
A = \(\frac{2^{12}.3^5-4^6.9^2}{\left(2^3.3\right)^6}-\frac{5^{10}.7^3-25^5.49^2}{\left(125.7\right)^3+5^9.14^3}\)
S = \(1+3+3^2+3^3+....+3^{2013}\)
Tính : \(A=\frac{2,5-4\left(\frac{5}{2}-1,2\right)+\frac{3}{8}}{4\left(\frac{5}{2}-1,2\right)-\frac{3}{5}:\frac{2}{5}}-\frac{55}{148}\)
Rút gọn \(B=\frac{3^9-2^3.3^7+2^{10}.3^2-2^{13}}{3^{10}-2^2.3^7+2^{10}.3^3-2^{12}}\)
\(A=2\frac{3}{7}:\left(-12\frac{1}{2}+15\frac{1}{7}\right).\left(3\frac{3}{10}\right)-\left(\frac{-34}{37}\right).\left(2\frac{1}{10}-4\frac{2}{5}\right)\)
\(B=-3\frac{1}{10}:\left(\frac{1}{2}-\frac{2}{5}\right)-2\frac{1}{28}:\left(\frac{2}{7}-\frac{3}{4}\right)\)
bài 2:Tìm x
a. \(-1\frac{2}{3}-\left|2x-1\right|:\frac{3}{5}=-2\)
b. \(\frac{x-7}{36}=\frac{-4}{7-x}\)
Mình đang cần gấp ai đúng mình tích cho
Mia mình nộp rồi
Bài 2
a. \(-1\frac{2}{3}-|2x-1|:\frac{3}{5}=-2\)
\(|2x-1|:\frac{3}{5}=\frac{5}{3}-2\)
\(|2x-1|:\frac{3}{5}=-\frac{1}{3}\)
\(|2x-1|=-\frac{1}{5}\)
Vì giá trị tuyệt đối luôn \(\ge0\)với mọi x
mà \(-\frac{1}{5}< 0\)
=> \(x\in\varnothing\)