\(=\dfrac{3^{14}\cdot5^4-3^{13}\cdot5^4}{3^{12}\cdot5^6+3^{12}\cdot5^6}\)
\(=\dfrac{3^{13}\cdot5^4\cdot\left(3-1\right)}{2\cdot3^{12}\cdot5^6}=\dfrac{9}{25}\)
\(\dfrac{3^6.45^4-15^{13}.5^{-9}}{27^4.25^3+45^6}\)
Tính:
\(\dfrac{3^6.45^4-15^{13}.5^{-9}}{27^4.25^3+45^6}\)
Tk cho bạn nhanh !!!❤
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,\(\left(\dfrac{2}{3}\right)^3.\left(-\dfrac{3}{4}\right)^2.\left(-1\right)^5\)
\(\overline{\left(\dfrac{2}{5}\right)^2}.\left(-\dfrac{5}{12}\right)^3\)
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) \(\left(-52\right)^3:13^3\)
b) \(\left(\dfrac{1}{2}\right)^{15}:\left(\dfrac{1}{4}\right)^6\)
c) \(\left(\dfrac{1}{9}\right)^{30}:\left(\dfrac{1}{3}\right)^{56}\)
d) \(\left(\dfrac{1}{8}\right)^5:\left(\dfrac{1}{16}\right)^3\)
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) \(\dfrac{2^{15}.9^4}{6^6.8^3}\)
Tính giá trị của biểu thức(tính nhanh nếu có thể):
1)\(\frac{35.\left(27^{8^{ }}+2.9^{11}\right)}{15.\left(81^{6^{ }}-12.3^{19}\right)}\)
2)\(\frac{5.4^{15^{ }}.9^{9^{ }}-4.3^{20^{ }}.8^9}{^{ }5.2^{9^{ }}.6^{19^{ }}-7.2^{29^{ }}.27^6}\)
3)\(\frac{4^{6^{ }}.9^{5^{ }}+6^{9^{ }}.120}{-8^{4^{ }}.3^{12^{ }}-6^{11}}\)
Tính
a) ( 0,25 )3 . 32
b) ( -0,125 ) 3 . 804
c) \(\dfrac{8^2.4^5}{2^{20}}\)
d) \(\dfrac{81^{11}.3^{17}}{27^{10}.9^{15}}\)
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
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