\(\dfrac{5^5}{5^x}=5^{18}\)
\(\dfrac{x-7}{6}=\dfrac{3}{2\left(x-7\right)}\)
Viết kết quả của các câu sau dưới dạng lũy thừa của một số nguyên tố
a) \(\dfrac{2^{14}.3^{12}}{6^{11}}\)
b) \(\dfrac{6^{18}}{9^9.8^5}\)
Bài 1:Tính giá trị biểu thức
\(_{1,}\)\(3^2.\dfrac{1}{243}.81^2.\dfrac{1}{3^3}\)
\(_{2,}\)(\(4.2^5\)):\(\left(2^3.\dfrac{1}{16}\right)\)
\(_{3,}\)\(\left(2^{-1}+3^{-1}\right)+\left(2^{-1}.2^0\right):2^3\)
\(_{4,}\)\(\left(-\dfrac{1}{3}\right)^{-1}-\left(-\dfrac{6}{7}\right)^0+\left(\dfrac{1}{2}\right)^2:2\)
\(_{5,}\)[(0,1)\(^2\)]\(^0\)+[(\(\dfrac{1}{7}\))\(^{-1}\)]\(^2\).\(\dfrac{1}{49}.\left[\left(2^2\right)^3:2^5\right]\)
Bài 2:Rút gọn biểu thức
a,\(\dfrac{4^5.9^4-2.6^9}{2^{10}.3^8+6^8.20}\)
b,\(\dfrac{3^6.45^4-15^{13}.5^{-9}}{27^4.25^3+45^6}\)
c,\(\left(\dfrac{2}{5}\right)^7.5^7+\left(\dfrac{9}{4}\right)^3:\left(\dfrac{3}{16}\right)^3\)
\(\overline{2^7.5^2+512}\)
d,\(\left(\dfrac{2}{3}\right)^3.\left(-\dfrac{3}{4}\right)^2.\left(-1\right)^5\)
\(\overline{\left(\dfrac{2}{5}\right)^2}.\left(-\dfrac{5}{12}\right)^3\)
1. Tính :
a. \(\dfrac{9^6.9^{10}}{3^{32}}\) ; b. \(\dfrac{25^8.25^{10}}{5^{34}}\) ; c. \(\dfrac{7^{56}}{49^9.49^{20}}\) ; d. \(\dfrac{4^2.4^3}{2^{10}}\) ; e. \(\dfrac{2^{17}.25^5}{10^8.8^3}\) ; f. \(\dfrac{3^{15}.25^4}{15^6.8^3}\)
2. Tính lũy thừa âm :
a. 3-2 b. 2-3
3. Tính :
a. \(\dfrac{\left(0,8\right)^{17}}{\left(0,4\right)^3}\) ; b. \(\dfrac{\left(0,8\right)^3}{\left(0,4\right)^4}\) ; c. \(\dfrac{\left(0,6\right)^5}{\left(0,2\right)^6}\)
Giải giùm mk mấy câu này nha!!!!
Tính
C=\(\dfrac{2^{12}\cdot3^5-4^6\cdot9^2}{\left(2^2\cdot3^6\right)^6+8^4\cdot3^5}-\dfrac{5^{10}\cdot7^3-25^5\cdot49^2}{\left(125\cdot7\right)^3+5^9\cdot14^3}\)
Tính
\(\dfrac{-15}{8}-\dfrac{4}{9}+\dfrac{-1}{8}+\dfrac{-5}{7}+\dfrac{-5}{9}\)
\(\left(\dfrac{-3}{4}\right)^3-\left(\dfrac{1}{2}\right)^6+2\)
-6,25+ 2,475- 12,123
GIPUPS MÌNH NHA CÁC BẠN
Rút gọn
a) \(\dfrac{2^{15}.9^4}{6^6.8^3}\)
b) \(\dfrac{45^{15}.5^{15}}{75^{15}}\)
c) \(\dfrac{8^{10}+4^{10}}{8^4+4^{11}}\)
d) \(\left(x^2\right)^5:\left(x^5\right)^2\)
Tính:
a) S=1.2+2.3+3.4+...+99.100
b) B=\(\dfrac{49^{24}.125^{17}.2^8-5^{30}.7^{49}.4^5}{5^{29}.16^2.7^{48}}\)
c) C=\(\left(\dfrac{1}{3}+\dfrac{1}{3^2}+\dfrac{1}{3^3}+\dfrac{1}{3^4}\right).3^5+\left(\dfrac{1}{3^5}+\dfrac{1}{3^6}+\dfrac{1}{3^7}+\dfrac{1}{3^8}\right).3^9+...+\left(\dfrac{1}{3^{97}}+\dfrac{1}{3^{98}}+\dfrac{1}{3^{99}}+\dfrac{1}{3^{100}}\right).3^{101}\)
d) D= \(3-3^2+3^3-3^4+...+3^{2017}-3^{2018}\)
1. Tính
\(\left(0,25\right)^4.1024\)
2. So sánh
\(2^{91}\) và \(5^{35}\)
3. Tìm giá trị biểu thức
a) \(\dfrac{45^{10}.5^{20}}{75^{15}}\) b) \(\dfrac{\left(0,8\right)^5}{\left(0,4\right)^6}\) c) \(\dfrac{2^{15}.9^4}{6^6.8^3}\)